3667 is not divisible by 2 since it is an odd number.
3667 is not divisible by 3 since the sum of all the digits is not divisible by 3.
3667 is not divisible by 4 since it is an odd number.
3667 is not divisible by 5 since it doesn't end with 5 or 0
3667 is not divisible by 6 since it is an odd number.
3667 is not divisible by 7 since the last digit is 7, so double that is 14. subtract 14 from 366 is 352 and 352 is not divisible by 7.
3667 is not divisible by 8 since it is an odd number.
3667 is not divisible by 9 since the sum of all digits is not divisible by 9.
3667 is not divisible by 10 since it doesn't end with 0.
3667 is not divisible by 11 since the sum of digit odd numbers subtracted by the sum of even numbers is not divisible by 11.
3667 is not divisible by 12 since it is an odd number.
3667 is not divisible by 13
3667 is not divisible by 14 since it is a odd number.
3667 is not divisible by 15 since it doesn't end with 5 or 0.
3667 is not divisible by 16 since it is an odd number.
3667 is not divisible by 17.
3667 is not divisible by 18 since it is an odd number.
3667 is finally divisible by 19.