Explanation:

- Option 1: 7345932

- To check divisibility by 3, add the digits: 7 + 3 + 4 + 5 + 9 + 3 + 2 = 33.

- Since 33 is divisible by 3, 7345932 is divisible by 3.

- This is the correct answer.

- Option 2: 5439763

- Add the digits: 5 + 4 + 3 + 9 + 7 + 6 + 3 = 37.

- 37 is not divisible by 3, so 5439763 is not divisible by 3.

- Option 3: 3642589

- Add the digits: 3 + 6 + 4 + 2 + 5 + 8 + 9 = 37.

- 37 is not divisible by 3, so 3642589 is not divisible by 3.

- Option 4: 3262735

- Add the digits: 3 + 2 + 6 + 2 + 7 + 3 + 5 = 28.

- 28 is not divisible by 3, so 3262735 is not divisible by 3.