3164601960 has 160 divisors (see below), whose sum is σ = 11454929640. Its totient is φ = 778968576.

The previous prime is 3164601949. The next prime is 3164601997. The reversal of 3164601960 is 691064613.

3164601960 is a `hidden beast` number, since 3 + 1 + 6 + 460 + 196 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2452032324 + 712569636 = 49518^2 + 26694^2 .

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 39 ways as a sum of consecutive naturals, for example, 4554 + ... + 79686.

Almost surely, 2^3164601960 is an apocalyptic number.

3164601960 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 3164601960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727464820).

3164601960 is an abundant number, since it is smaller than the sum of its proper divisors (8290327680).

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

3164601960 is a wasteful number, since it uses less digits than its factorization.

3164601960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75169 (or 75156 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3164601960 is about 56254.7949956268. The cubic root of 3164601960 is about 1468.1587943562.

The spelling of 3164601960 in words is "three billion, one hundred sixty-four million, six hundred one thousand, nine hundred sixty".