3157032960 has 192 divisors, whose sum is σ = 10949325660. Its totient is φ = 841482240.

The previous prime is 3157032943. The next prime is 3157032973. The reversal of 3157032960 is 692307513.

3157032960 is a `hidden beast` number, since 3 + 1 + 570 + 3 + 29 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3015327744 + 141705216 = 54912^2 + 11904^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3157032960² = 19933714221052723200, which contains 22 as substring.

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, 1473490 + ... + 1475630.

Almost surely, 2^3157032960 is an apocalyptic number.

3157032960 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 3157032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474662830).

3157032960 is an abundant number, since it is smaller than the sum of its proper divisors (7792292700).

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

3157032960 is an equidigital number, since it uses as much as digits as its factorization.

3157032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3157032960 is about 56187.4804560589. The cubic root of 3157032960 is about 1466.9873605439.

The spelling of 3157032960 in words is "three billion, one hundred fifty-seven million, thirty-two thousand, nine hundred sixty".