3115376800 has 144 divisors (see below), whose sum is σ = 8202600000. Its totient is φ = 1151539200.

The previous prime is 3115376777. The next prime is 3115376813. The reversal of 3115376800 is 86735113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620701 + ... + 625699.

It is an arithmetic number, because the mean of its divisors is an integer number (56962500).

Almost surely, 2^3115376800 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 3115376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101300000).

3115376800 is an abundant number, since it is smaller than the sum of its proper divisors (5087223200).

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

3115376800 is a wasteful number, since it uses less digits than its factorization.

3115376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 3115376800 is about 55815.5605543830. The cubic root of 3115376800 is about 1460.5066109531.

The spelling of 3115376800 in words is "three billion, one hundred fifteen million, three hundred seventy-six thousand, eight hundred".