345864200 has 48 divisors (see below), whose sum is σ = 877242960. Its totient is φ = 125768000.

The previous prime is 345864193. The next prime is 345864203. The reversal of 345864200 is 2468543.

345864200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (345864203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76406 + ... + 80805.

It is an arithmetic number, because the mean of its divisors is an integer number (18275895).

Almost surely, 2^345864200 is an apocalyptic number.

It is an amenable number.

345864200 is an abundant number, since it is smaller than the sum of its proper divisors (531378760).

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

345864200 is a wasteful number, since it uses less digits than its factorization.

345864200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157238 (or 157229 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 345864200 is about 18597.4245528783. The cubic root of 345864200 is about 701.9430369658.

The spelling of 345864200 in words is "three hundred forty-five million, eight hundred sixty-four thousand, two hundred".