3156878400 has 168 divisors, whose sum is σ = 11154119424. Its totient is φ = 777062400.

The previous prime is 3156878371. The next prime is 3156878423. The reversal of 3156878400 is 48786513.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37105 + ... + 87695.

It is an arithmetic number, because the mean of its divisors is an integer number (66393568).

Almost surely, 2^3156878400 is an apocalyptic number.

3156878400 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 3156878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577059712).

3156878400 is an abundant number, since it is smaller than the sum of its proper divisors (7997241024).

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

3156878400 is a wasteful number, since it uses less digits than its factorization.

3156878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50629 (or 50614 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 3156878400 is about 56186.1050438629. The cubic root of 3156878400 is about 1466.9634202103.

The spelling of 3156878400 in words is "three billion, one hundred fifty-six million, eight hundred seventy-eight thousand, four hundred".