3164157072 has 120 divisors (see below), whose sum is σ = 8985674880. Its totient is φ = 1039288320.

The previous prime is 3164157053. The next prime is 3164157109. The reversal of 3164157072 is 2707514613.

It is a happy number.

3164157072 is a `hidden beast` number, since 3 + 1 + 641 + 5 + 7 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×3164157072² = 20023779952575226368, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5014197 + ... + 5014827.

It is an arithmetic number, because the mean of its divisors is an integer number (74880624).

Almost surely, 2^3164157072 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 3164157072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492837440).

3164157072 is an abundant number, since it is smaller than the sum of its proper divisors (5821517808).

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

3164157072 is a wasteful number, since it uses less digits than its factorization.

3164157072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3164157072 is about 56250.8406337185. The cubic root of 3164157072 is about 1468.0899919341.

The spelling of 3164157072 in words is "three billion, one hundred sixty-four million, one hundred fifty-seven thousand, seventy-two".