3164465120 has 96 divisors (see below), whose sum is σ = 8053032960. Its totient is φ = 1171653120.

The previous prime is 3164465111. The next prime is 3164465191. The reversal of 3164465120 is 215644613.

It is a super-2 number, since 2×3164465120² = 20027678991393228800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100211 + ... + 127949.

It is an arithmetic number, because the mean of its divisors is an integer number (83885760).

Almost surely, 2^3164465120 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 3164465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026516480).

3164465120 is an abundant number, since it is smaller than the sum of its proper divisors (4888567840).

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

3164465120 is a wasteful number, since it uses less digits than its factorization.

3164465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27808 (or 27800 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3164465120 is about 56253.5787306017. The cubic root of 3164465120 is about 1468.1376325853.

The spelling of 3164465120 in words is "three billion, one hundred sixty-four million, four hundred sixty-five thousand, one hundred twenty".