3157952000 has 480 divisors, whose sum is σ = 9824237280. Its totient is φ = 1006387200.

The previous prime is 3157951999. The next prime is 3157952027. The reversal of 3157952000 is 2597513.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59583974 + ... + 59584026.

It is an arithmetic number, because the mean of its divisors is an integer number (20467161).

Almost surely, 2^3157952000 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 3157952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912118640).

3157952000 is an abundant number, since it is smaller than the sum of its proper divisors (6666285280).

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

3157952000 is an equidigital number, since it uses as much as digits as its factorization.

3157952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 3157952000 is about 56195.6581952734. The cubic root of 3157952000 is about 1467.1296976978.

The spelling of 3157952000 in words is "three billion, one hundred fifty-seven million, nine hundred fifty-two thousand".