3137968800 has 432 divisors, whose sum is σ = 12108724992. Its totient is φ = 761241600.

The previous prime is 3137968789. The next prime is 3137968849. The reversal of 3137968800 is 88697313.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3793987 + ... + 3794813.

It is an arithmetic number, because the mean of its divisors is an integer number (28029456).

Almost surely, 2^3137968800 is an apocalyptic number.

3137968800 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 3137968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054362496).

3137968800 is an abundant number, since it is smaller than the sum of its proper divisors (8970756192).

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

3137968800 is a wasteful number, since it uses less digits than its factorization.

3137968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3137968800 is about 56017.5758133106. The cubic root of 3137968800 is about 1464.0285312007.

The spelling of 3137968800 in words is "three billion, one hundred thirty-seven million, nine hundred sixty-eight thousand, eight hundred".