34304800 has 72 divisors (see below), whose sum is σ = 84627396. Its totient is φ = 13578240.

The previous prime is 34304791. The next prime is 34304819. The reversal of 34304800 is 840343.

It can be written as a sum of positive squares in 6 ways, for example, as 3701776 + 30603024 = 1924^2 + 5532^2 .

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, 109444 + ... + 109756.

Almost surely, 2^34304800 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 34304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42313698).

34304800 is an abundant number, since it is smaller than the sum of its proper divisors (50322596).

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

34304800 is a wasteful number, since it uses less digits than its factorization.

34304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34304800 is about 5857.0299640688. The cubic root of 34304800 is about 324.9263738544.

The spelling of 34304800 in words is "thirty-four million, three hundred four thousand, eight hundred".