3156940800 has 864 divisors, whose sum is σ = 13307898240. Its totient is φ = 707788800.

The previous prime is 3156940799. The next prime is 3156940807. The reversal of 3156940800 is 80496513.

3156940800 = 81³ + 82³ + ... + 335³.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3156940807) 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 71 ways as a sum of consecutive naturals, for example, 101836785 + ... + 101836815.

It is an arithmetic number, because the mean of its divisors is an integer number (15402660).

Almost surely, 2^3156940800 is an apocalyptic number.

3156940800 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 3156940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653949120).

3156940800 is an abundant number, since it is smaller than the sum of its proper divisors (10150957440).

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

3156940800 is a wasteful number, since it uses less digits than its factorization.

3156940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3156940800 is about 56186.6603385537. The cubic root of 3156940800 is about 1466.9730856565.

The spelling of 3156940800 in words is "three billion, one hundred fifty-six million, nine hundred forty thousand, eight hundred".