3156390400 has 120 divisors (see below), whose sum is σ = 7917087024. Its totient is φ = 1246924800.

The previous prime is 3156390389. The next prime is 3156390403. The reversal of 3156390400 is 40936513.

It is not an unprimeable number, because it can be changed into a prime (3156390403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1060915 + ... + 1063885.

Almost surely, 2^3156390400 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 3156390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958543512).

3156390400 is an abundant number, since it is smaller than the sum of its proper divisors (4760696624).

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

3156390400 is an equidigital number, since it uses as much as digits as its factorization.

3156390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 3156390400 is about 56181.7621653148. The cubic root of 3156390400 is about 1466.8878270717.

The spelling of 3156390400 in words is "three billion, one hundred fifty-six million, three hundred ninety thousand, four hundred".