3157228800 has 648 divisors, whose sum is σ = 12809666240. Its totient is φ = 760320000.

The previous prime is 3157228787. The next prime is 3157228853. The reversal of 3157228800 is 88227513.

3157228800 is a `hidden beast` number, since 3 + 1 + 572 + 2 + 8 + 80 + 0 = 666.

3157228800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 20908725 + ... + 20908875.

Almost surely, 2^3157228800 is an apocalyptic number.

3157228800 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 3157228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404833120).

3157228800 is an abundant number, since it is smaller than the sum of its proper divisors (9652437440).

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

3157228800 is a wasteful number, since it uses less digits than its factorization.

3157228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3157228800 is about 56189.2231660129. The cubic root of 3157228800 is about 1467.0176937574.

The spelling of 3157228800 in words is "three billion, one hundred fifty-seven million, two hundred twenty-eight thousand, eight hundred".