345472400 has 120 divisors (see below), whose sum is σ = 1021642944. Its totient is φ = 109324800.

The previous prime is 345472381. The next prime is 345472471. The reversal of 345472400 is 4274543.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31655 + ... + 41145.

Almost surely, 2^345472400 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 345472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510821472).

345472400 is an abundant number, since it is smaller than the sum of its proper divisors (676170544).

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

345472400 is a wasteful number, since it uses less digits than its factorization.

345472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 345472400 is about 18586.8878513860. The cubic root of 345472400 is about 701.6778797194.

The spelling of 345472400 in words is "three hundred forty-five million, four hundred seventy-two thousand, four hundred".