345264800 has 36 divisors (see below), whose sum is σ = 842879646. Its totient is φ = 138105600.

The previous prime is 345264793. The next prime is 345264809. The reversal of 345264800 is 8462543.

It can be written as a sum of positive squares in 3 ways, for example, as 128232976 + 217031824 = 11324^2 + 14732^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (345264809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214991 + ... + 216590.

Almost surely, 2^345264800 is an apocalyptic number.

It is an amenable number.

345264800 is an abundant number, since it is smaller than the sum of its proper divisors (497614846).

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

345264800 is a wasteful number, since it uses less digits than its factorization.

345264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431601 (or 431588 counting only the distinct ones).

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

The square root of 345264800 is about 18581.3024301312. The cubic root of 345264800 is about 701.5373016629.

The spelling of 345264800 in words is "three hundred forty-five million, two hundred sixty-four thousand, eight hundred".