345157164 has 72 divisors (see below), whose sum is σ = 977562768. Its totient is φ = 101761920.

The previous prime is 345157157. The next prime is 345157187. The reversal of 345157164 is 461751543.

345157164 is a `hidden beast` number, since 34 + 51 + 571 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874 + ... + 26430.

Almost surely, 2^345157164 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 345157164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488781384).

345157164 is an abundant number, since it is smaller than the sum of its proper divisors (632405604).

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

345157164 is a wasteful number, since it uses less digits than its factorization.

345157164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23615 (or 23610 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 345157164 is about 18578.4058519562. The cubic root of 345157164 is about 701.4643928722.

The spelling of 345157164 in words is "three hundred forty-five million, one hundred fifty-seven thousand, one hundred sixty-four".