3564668052 has 432 divisors, whose sum is σ = 11711044800. Its totient is φ = 899942400.

The previous prime is 3564668017. The next prime is 3564668101. The reversal of 3564668052 is 2508664653.

3564668052 is a `hidden beast` number, since 3 + 564 + 6 + 6 + 80 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3564667989 and 3564668007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114989277 + ... + 114989307.

It is an arithmetic number, because the mean of its divisors is an integer number (27108900).

Almost surely, 2^3564668052 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 3564668052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855522400).

3564668052 is an abundant number, since it is smaller than the sum of its proper divisors (8146376748).

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

3564668052 is a wasteful number, since it uses less digits than its factorization.

3564668052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3564668052 is about 59704.8411102483. The cubic root of 3564668052 is about 1527.5884449615.

The spelling of 3564668052 in words is "three billion, five hundred sixty-four million, six hundred sixty-eight thousand, fifty-two".