345357600 has 288 divisors, whose sum is σ = 1309666176. Its totient is φ = 77414400.

The previous prime is 345357599. The next prime is 345357619. The reversal of 345357600 is 6753543.

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 47 ways as a sum of consecutive naturals, for example, 1024632 + ... + 1024968.

It is an arithmetic number, because the mean of its divisors is an integer number (4547452).

Almost surely, 2^345357600 is an apocalyptic number.

345357600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654833088).

345357600 is an abundant number, since it is smaller than the sum of its proper divisors (964308576).

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

345357600 is a wasteful number, since it uses less digits than its factorization.

345357600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 345357600 is about 18583.7993962483. The cubic root of 345357600 is about 701.6001489130.

The spelling of 345357600 in words is "three hundred forty-five million, three hundred fifty-seven thousand, six hundred".