3564087912000 has 3360 divisors, whose sum is σ = 17459634067200. Its totient is φ = 708390144000.

The previous prime is 3564087911999. The next prime is 3564087912031. The reversal of 3564087912000 is 2197804653.

3564087912000 is a `hidden beast` number, since 3 + 56 + 408 + 79 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 154960343989 + ... + 154960344011.

It is a 1-persistent number, because it is pandigital, but 2⋅3564087912000 = 7128175824000 is not.

Almost surely, 2^{3564087912000} is an apocalyptic number.

3564087912000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564087912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729817033600).

3564087912000 is an abundant number, since it is smaller than the sum of its proper divisors (13895546155200).

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

3564087912000 is an equidigital number, since it uses as much as digits as its factorization.

3564087912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3564087912000 in words is "three trillion, five hundred sixty-four billion, eighty-seven million, nine hundred twelve thousand".