3616 has 12 divisors (see below), whose sum is σ = 7182. Its totient is φ = 1792.

The previous prime is 3613. The next prime is 3617. The reversal of 3616 is 6163.

Subtracting from 3616 its sum of digits (16), we obtain a square (3600 = 60^{2}).

Adding to 3616 its reverse (6163), we get a palindrome (9779).

It can be divided in two parts, 36 and 16, that multiplied together give a square (576 = 24^{2}).

It is a happy number.

3616 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 16 = 60^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an alternating number because its digits alternate between odd and even.

3616 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613) by changing a digit.

It is a nontrivial repunit in base 15.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25 + ... + 88.

2^{3616} is an apocalyptic number.

It is an amenable number.

3616 is a deficient number, since it is larger than the sum of its proper divisors (3566).

3616 is a wasteful number, since it uses less digits than its factorization.

3616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 108, while the sum is 16.

The square root of 3616 is about 60.1331855135. The cubic root of 3616 is about 15.3488605576.

The spelling of 3616 in words is "three thousand, six hundred sixteen".

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