345268400 has 60 divisors (see below), whose sum is σ = 837223200. Its totient is φ = 136823040.

The previous prime is 345268397. The next prime is 345268411. The reversal of 345268400 is 4862543.

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, 39641 + ... + 47559.

It is an arithmetic number, because the mean of its divisors is an integer number (13953720).

Almost surely, 2^345268400 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 345268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418611600).

345268400 is an abundant number, since it is smaller than the sum of its proper divisors (491954800).

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

345268400 is a wasteful number, since it uses less digits than its factorization.

345268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 345268400 is about 18581.3993014520. The cubic root of 345268400 is about 701.5397399127.

The spelling of 345268400 in words is "three hundred forty-five million, two hundred sixty-eight thousand, four hundred".