3656 has 8 divisors (see below), whose sum is σ = 6870. Its totient is φ = 1824.

The previous prime is 3643. The next prime is 3659. The reversal of 3656 is 6563.

It can be written as a sum of positive squares in only one way, i.e., 2500 + 1156 = 50^2 + 34^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a pancake number, because a pancake can be divided into 3656 parts by 85 straight cuts.

It is a plaindrome in base 15.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3659) by changing a digit.

3656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221 + ... + 236.

2³⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

3656 is a deficient number, since it is larger than the sum of its proper divisors (3214).

3656 is a wasteful number, since it uses less digits than its factorization.

3656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 3656 is about 60.4648658313. The cubic root of 3656 is about 15.4052492366.

It can be divided in two parts, 36 and 56, that multiplied together give a triangular number (2016 = T₆₃).

The spelling of 3656 in words is "three thousand, six hundred fifty-six".