345750400 has 96 divisors (see below), whose sum is σ = 863226000. Its totient is φ = 136826880.

The previous prime is 345750397. The next prime is 345750469. The reversal of 345750400 is 4057543.

345750400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 329076 + ... + 330124.

Almost surely, 2^345750400 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 345750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431613000).

345750400 is an abundant number, since it is smaller than the sum of its proper divisors (517475600).

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

345750400 is a wasteful number, since it uses less digits than its factorization.

345750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 345750400 is about 18594.3647377371. The cubic root of 345750400 is about 701.8660415436.

The spelling of 345750400 in words is "three hundred forty-five million, seven hundred fifty thousand, four hundred".