3656628864 has 96 divisors (see below), whose sum is σ = 12025547040. Its totient is φ = 1044748800.

The previous prime is 3656628863. The next prime is 3656628893. The reversal of 3656628864 is 4688266563.

It is a happy number.

3656628864 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 628 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3656628864.

It is not an unprimeable number, because it can be changed into a prime (3656628863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218662 + ... + 234789.

It is an arithmetic number, because the mean of its divisors is an integer number (125266115).

Almost surely, 2^3656628864 is an apocalyptic number.

It is an amenable number.

3656628864 is an abundant number, since it is smaller than the sum of its proper divisors (8368918176).

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

3656628864 is a wasteful number, since it uses less digits than its factorization.

3656628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453478 (or 453463 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3656628864 is about 60470.0658507993. The cubic root of 3656628864 is about 1540.6132465171.

The spelling of 3656628864 in words is "three billion, six hundred fifty-six million, six hundred twenty-eight thousand, eight hundred sixty-four".