3656094624 has 576 divisors, whose sum is σ = 13650336000. Its totient is φ = 951035904.

The previous prime is 3656094619. The next prime is 3656094649. The reversal of 3656094624 is 4264906563.

3656094624 is a `hidden beast` number, since 36 + 5 + 609 + 4 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3656094624.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 50083452 + ... + 50083524.

It is an arithmetic number, because the mean of its divisors is an integer number (23698500).

Almost surely, 2^3656094624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656094624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825168000).

3656094624 is an abundant number, since it is smaller than the sum of its proper divisors (9994241376).

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

3656094624 is a wasteful number, since it uses less digits than its factorization.

3656094624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3656094624 is about 60465.6482971943. The cubic root of 3656094624 is about 1540.5382140817.

The spelling of 3656094624 in words is "three billion, six hundred fifty-six million, ninety-four thousand, six hundred twenty-four".