3164534560 has 144 divisors (see below), whose sum is σ = 8431952256. Its totient is φ = 1113024000.

The previous prime is 3164534551. The next prime is 3164534579. The reversal of 3164534560 is 654354613.

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, 1690425 + ... + 1692295.

It is an arithmetic number, because the mean of its divisors is an integer number (58555224).

Almost surely, 2^3164534560 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 3164534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215976128).

3164534560 is an abundant number, since it is smaller than the sum of its proper divisors (5267417696).

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

3164534560 is a wasteful number, since it uses less digits than its factorization.

3164534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 3164534560 is about 56254.1959323925. The cubic root of 3164534560 is about 1468.1483712860.

The spelling of 3164534560 in words is "three billion, one hundred sixty-four million, five hundred thirty-four thousand, five hundred sixty".