3164025456 has 40 divisors (see below), whose sum is σ = 9081926160. Its totient is φ = 1054675008.

The previous prime is 3164025451. The next prime is 3164025467. The reversal of 3164025456 is 6545204613.

3164025456 is a `hidden beast` number, since 3 + 1 + 640 + 2 + 5 + 4 + 5 + 6 = 666.

3164025456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3164025456² = 20022114172432015872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3164025456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164025451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3661635 + ... + 3662498.

It is an arithmetic number, because the mean of its divisors is an integer number (227048154).

Almost surely, 2^3164025456 is an apocalyptic number.

3164025456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3164025456 is an abundant number, since it is smaller than the sum of its proper divisors (5917900704).

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

3164025456 is a wasteful number, since it uses less digits than its factorization.

3164025456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7324150 (or 7324138 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3164025456 is about 56249.6707190362. The cubic root of 3164025456 is about 1468.0696361377.

The spelling of 3164025456 in words is "three billion, one hundred sixty-four million, twenty-five thousand, four hundred fifty-six".