Trouble finding time differences with millis()

I'm building an irrigation system that monitors the moisture content in the plants soil and then logs it on an SD card. In the code I have written below, the sensors take readings every 24 seconds (SNSR_T=24000) and logs them every 2 minutes (data is logged after 5 readings). This works perfectly fine, however when I change SNSR_T to 36000 (so data is logged every 3 minutes) or anything bigger, it doesn't work. Does anybody know why this is? Does arduino have an issue with performing arithmetic functions that have larger solutions? Any advice will help, thanks!

//Pin Declaration
const int LED = 7; // Red Led at pin 7
const int LEDG = 3; // Green Led at pin 4
const int mst0 = A0; // Moisture Sensor at Analog 0, A0
const int mst1 = A1; // Moisture Sensor at Analog 1, A1
const int mst2 = A2; // Moisture Sensor at Analog 2, A2

const int PUMP = 8; // Pump SWITCH signal pin

const int sdPin = 4; //sd card

// Variables initialized
int m0Val[5] = {0, 0, 0, 0, 0};
int m1Val[5] = {0, 0, 0, 0, 0};
int m2Val[5] = {0, 0, 0, 0, 0};
int mAvgVal[4] = {0, 0, 0, 0};


unsigned long count = 0; //How many measurements are written on data file
int i = 0; // variable used to write values of sensor readings

int SNSR_T = 24000; // ONE SECOND = 1000. TIME BETWEEN SENSOR MEASUREMENTS

long pumpt = 0;

unsigned long previousMillis = 0;


// the setup routine runs once when you press reset:
void setup() {
  // Start communication with computer
  Serial.begin(9600);
  delay(1000);
  // initialize the pins as an output or input.
  pinMode(LED, OUTPUT); // set pin LED to current output mode
  pinMode(LEDG, OUTPUT); // set pin LEDG to current output mode
  pinMode(PUMP, OUTPUT); // set pin PUMP to current output mode

  pinMode(mst0, INPUT); // Set mst sensor pins to input mode
  pinMode(mst1, INPUT);
  pinMode(mst2, INPUT);


  //Condition: stop the program if SD card is not recording data
  //RED LED will start blinking
  while (!SD.begin(sdPin))
  {
    LED_Blink(LED, 2000, 0);
  }
}
// the loop routine runs over and over again non-stop:
void loop() {

  unsigned long currentMillis = millis();

  if (currentMillis - previousMillis >= SNSR_T) //START OF SENSOR DATA TAKING
  {
    // Gather information from sensors and store in variables m0Val to m3Val //
    m0Val[i] = analogRead(mst0); // snsor 0 reading
    m1Val[i] = analogRead(mst1); // snsr 1 reading
    m2Val[i] = analogRead(mst2); // snsr 2 reading
    i++;

    //  Take the average of the sensor values, store into variable mAvg

    if (i == 5) {
      for (int n = 0; n <= 4; n++) {
        mAvgVal[0] = mAvgVal[0] + m0Val[n];
      }
      mAvgVal[0] /= 5;

      for (int n = 0; n <= 4; n++) {
        mAvgVal[1] = mAvgVal[1] + m1Val[n];
      }
      mAvgVal[1] /= 5;

      for (int n = 0; n <= 4; n++) {
        mAvgVal[2] = mAvgVal[2] + m2Val[n];
      }
      mAvgVal[2] /= 5;


      mAvgVal[3] = mAvgVal[0] + mAvgVal[1] + mAvgVal[2];

      mAvgVal[3] /= 3;


      //turn pump on when moisture reaches a defined threshold
      if (mAvgVal[3] <= 150) {
        digitalWrite(PUMP, HIGH);
        SNSR_T = 1000;         //Increase sensor reading frequency when pump is on
      }

      //determine how long pump is on
      if (digitalRead(PUMP) == HIGH) {
        pumpt = pumpt + 5;
      }

      //turn pump off when moisture reaches a defined threshold or pump exceeds max time on
      if (mAvgVal[3] >= 350 || pumpt >= 900) {
        digitalWrite(PUMP, LOW);
        SNSR_T = 24000;      //return sensor reading frequency to original
      }

      //Open text file. After designated time (line 119) data will be saved in a new file

      if (currentMillis >= 216000000) {
        File dataFile = SD.open("TmAvg2.txt", FILE_WRITE);
        if (dataFile)
        {
          dataFile.print(count);

          for (int n = 0; n <= 3; n++)
          {
            dataFile.print("\t");
            dataFile.print(mAvgVal[n]);
            if (n == 3) {
              dataFile.print("\t");
              dataFile.print(pumpt);
              dataFile.println();
            }
          }
          dataFile.close();
          LED_Blink(LEDG, 500, 0);

        }
        else {
          LED_Blink(LED, 500, 2);
        }
      }
      else {
        File dataFile = SD.open("TmAvg.txt", FILE_WRITE);
        if (dataFile)
        {
          if (count == 0) { // if on the first run (count=0), print some information on the screen
            dataFile.println("Count\tm0\tm1\tm2\tmAvg\tpumpt");
          }
          dataFile.print(count);

          for (int n = 0; n <= 3; n++)
          {
            dataFile.print("\t");
            dataFile.print(mAvgVal[n]);
            if (n == 3) {
              dataFile.print("\t");
              dataFile.print(pumpt);
              dataFile.println();
            }
          }
          dataFile.close();
          LED_Blink(LEDG, 500, 0);

        }
        else {
          LED_Blink(LED, 500, 2);
        }
         }

        // Printing valuable information: count, average (from array), sensors m0 to m3
        Serial.print(count); Serial.print("\t\t");
        Serial.print(mAvgVal[0]); Serial.print("\t\t");
        Serial.print(mAvgVal[1]); Serial.print("\t\t");
        Serial.print(mAvgVal[2]); Serial.print("\t\t");
        Serial.print(mAvgVal[3]); Serial.print("\t\t");
        Serial.print(pumpt); Serial.println("\t\t");


        // Adding +1 to count (a run has finished and values have been written)
        count++;
        i = 0;

        //return pumpt to 0 when pump is off
        if (mAvgVal[3] >= 350 || pumpt >= 900) {
          pumpt = 0;
        }


        for (int n = 0; n <= 3; n++) {
          mAvgVal[n] = 0;
        }


      }//End data writting
      previousMillis = millis();
    }//End sensor data gathering




  }//End Loop

  void LED_Blink(int color, int dur, int blinks) {
    for (int n = 0; n <= blinks; n++) {
      digitalWrite(color, HIGH);
      delay(dur);
      digitalWrite(color, LOW);
      if (n > 0) {
        delay(dur / 2);
      }
    }
  }

SNSR_T is declared as int, and has a limit of 32767.

Use unsigned int (65535) or unsigned long (4,294,967,295)

This works perfectly fine, however when I change SNSR_T to 36000

The largest value that a variable of type "int" can hold on Arduino is 32767.

You should also think a bit about whether this if clause really does what you want:

if (currentMillis >= 216000000)

Have a look at how millis() is used to manage timing in Several things at a time

Always use unsigned long for variable related to millis()

Always calculate intervals using subtraction.

...R