345407200 has 36 divisors (see below), whose sum is σ = 843227280. Its totient is φ = 138162560.

The previous prime is 345407189. The next prime is 345407233. The reversal of 345407200 is 2704543.

It is a super-2 number, since 2×345407200² = 238612267623680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215080 + ... + 216679.

It is an arithmetic number, because the mean of its divisors is an integer number (23422980).

Almost surely, 2^345407200 is an apocalyptic number.

It is an amenable number.

345407200 is an abundant number, since it is smaller than the sum of its proper divisors (497820080).

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

345407200 is a wasteful number, since it uses less digits than its factorization.

345407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431779 (or 431766 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 345407200 is about 18585.1338440163. The cubic root of 345407200 is about 701.6337350679.

The spelling of 345407200 in words is "three hundred forty-five million, four hundred seven thousand, two hundred".