3564996960 has 144 divisors (see below), whose sum is σ = 13063253616. Its totient is φ = 814851072.

The previous prime is 3564996947. The next prime is 3564996971. The reversal of 3564996960 is 696994653.

It is a self number, because there is not a number n which added to its sum of digits gives 3564996960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52267 + ... + 99306.

It is an arithmetic number, because the mean of its divisors is an integer number (90717039).

Almost surely, 2^3564996960 is an apocalyptic number.

3564996960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3564996960 is an abundant number, since it is smaller than the sum of its proper divisors (9498256656).

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

3564996960 is a wasteful number, since it uses less digits than its factorization.

3564996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151605 (or 151590 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 57.

The square root of 3564996960 is about 59707.5954967205. The cubic root of 3564996960 is about 1527.6354264850.

The spelling of 3564996960 in words is "three billion, five hundred sixty-four million, nine hundred ninety-six thousand, nine hundred sixty".