3158876160 has 672 divisors, whose sum is σ = 12880969920. Its totient is φ = 707788800.

The previous prime is 3158876093. The next prime is 3158876173. The reversal of 3158876160 is 616788513.

3158876160 is a `hidden beast` number, since 3 + 1 + 588 + 7 + 6 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77045740 + ... + 77045780.

It is an arithmetic number, because the mean of its divisors is an integer number (19168110).

Almost surely, 2^3158876160 is an apocalyptic number.

3158876160 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 3158876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440484960).

3158876160 is an abundant number, since it is smaller than the sum of its proper divisors (9722093760).

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

3158876160 is a wasteful number, since it uses less digits than its factorization.

3158876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3158876160 is about 56203.8802930901. The cubic root of 3158876160 is about 1467.2727999722.

The spelling of 3158876160 in words is "three billion, one hundred fifty-eight million, eight hundred seventy-six thousand, one hundred sixty".