3264514560 has 120 divisors (see below), whose sum is σ = 11306011860. Its totient is φ = 870531072.

The previous prime is 3264514541. The next prime is 3264514597. The reversal of 3264514560 is 654154623.

3264514560 is a `hidden beast` number, since 3 + 2 + 645 + 1 + 4 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3246264576 + 18249984 = 56976^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47805 + ... + 93884.

Almost surely, 2^3264514560 is an apocalyptic number.

3264514560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3264514560 is an abundant number, since it is smaller than the sum of its proper divisors (8041497300).

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

3264514560 is a wasteful number, since it uses less digits than its factorization.

3264514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141718 (or 141699 counting only the distinct ones).

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

The square root of 3264514560 is about 57135.9305516240. The cubic root of 3264514560 is about 1483.4498533501.

The spelling of 3264514560 in words is "three billion, two hundred sixty-four million, five hundred fourteen thousand, five hundred sixty".