3157996800 has 216 divisors, whose sum is σ = 11911418176. Its totient is φ = 721797120.

The previous prime is 3157996759. The next prime is 3157996801. The reversal of 3157996800 is 86997513.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3157996800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3157996801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122652 + ... + 146148.

Almost surely, 2^3157996800 is an apocalyptic number.

3157996800 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 3157996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5955709088).

3157996800 is an abundant number, since it is smaller than the sum of its proper divisors (8753421376).

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

3157996800 is a wasteful number, since it uses less digits than its factorization.

3157996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23533 (or 23514 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 3157996800 is about 56196.0568011671. The cubic root of 3157996800 is about 1467.1366354325.

The spelling of 3157996800 in words is "three billion, one hundred fifty-seven million, nine hundred ninety-six thousand, eight hundred".