345151200 has 72 divisors (see below), whose sum is σ = 1123474968. Its totient is φ = 92039680.

The previous prime is 345151193. The next prime is 345151217. The reversal of 345151200 is 2151543.

It is a super-2 number, since 2×345151200² = 238258701722880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69507 + ... + 74306.

It is an arithmetic number, because the mean of its divisors is an integer number (15603819).

Almost surely, 2^345151200 is an apocalyptic number.

345151200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345151200 is an abundant number, since it is smaller than the sum of its proper divisors (778323768).

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

345151200 is a wasteful number, since it uses less digits than its factorization.

345151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143836 (or 143823 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 345151200 is about 18578.2453423352. The cubic root of 345151200 is about 701.4603526279.

The spelling of 345151200 in words is "three hundred forty-five million, one hundred fifty-one thousand, two hundred".