3157297920 has 576 divisors, whose sum is σ = 13249044480. Its totient is φ = 696729600.

The previous prime is 3157297909. The next prime is 3157297939. The reversal of 3157297920 is 297927513.

3157297920 is a `hidden beast` number, since 3 + 1 + 572 + 9 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7499310 + ... + 7499730.

Almost surely, 2^3157297920 is an apocalyptic number.

3157297920 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 3157297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624522240).

3157297920 is an abundant number, since it is smaller than the sum of its proper divisors (10091746560).

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

3157297920 is a wasteful number, since it uses less digits than its factorization.

3157297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 3157297920 is about 56189.8382272097. The cubic root of 3157297920 is about 1467.0283992980.

The spelling of 3157297920 in words is "three billion, one hundred fifty-seven million, two hundred ninety-seven thousand, nine hundred twenty".