34398400 has 42 divisors (see below), whose sum is σ = 84645500. Its totient is φ = 13758720.

The previous prime is 34398391. The next prime is 34398401. The reversal of 34398400 is 489343.

It is not an unprimeable number, because it can be changed into a prime (34398401) 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, 9150 + ... + 12349.

Almost surely, 2^34398400 is an apocalyptic number.

It is an amenable number.

34398400 is an abundant number, since it is smaller than the sum of its proper divisors (50247100).

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

34398400 is a wasteful number, since it uses less digits than its factorization.

34398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21521 (or 21506 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34398400 is about 5865.0149189921. The cubic root of 34398400 is about 325.2216239838.

The spelling of 34398400 in words is "thirty-four million, three hundred ninety-eight thousand, four hundred".