3656736 has 36 divisors (see below), whose sum is σ = 10399662. Its totient is φ = 1218816.

The previous prime is 3656707. The next prime is 3656753. The reversal of 3656736 is 6376563.

It can be written as a sum of positive squares in only one way, i.e., 3459600 + 197136 = 1860^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3³ + 6⁷ + 5 + 6⁸ + 7⁵ + 3⁶ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3656736.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6061 + ... + 6636.

Almost surely, 2^3656736 is an apocalyptic number.

3656736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3656736 is an abundant number, since it is smaller than the sum of its proper divisors (6742926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3656736 is a wasteful number, since it uses less digits than its factorization.

3656736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12713 (or 12702 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 3656736 is about 1912.2593966301. The cubic root of 3656736 is about 154.0628292573.

The spelling of 3656736 in words is "three million, six hundred fifty-six thousand, seven hundred thirty-six".