34400900 has 36 divisors (see below), whose sum is σ = 74911872. Its totient is φ = 13712160.

The previous prime is 34400897. The next prime is 34400921. The reversal of 34400900 is 900443.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 45929 + ... + 46671.

Almost surely, 2^34400900 is an apocalyptic number.

It is an amenable number.

34400900 is an abundant number, since it is smaller than the sum of its proper divisors (40510972).

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

34400900 is a wasteful number, since it uses less digits than its factorization.

34400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 34400900 is about 5865.2280433074. The cubic root of 34400900 is about 325.2295025902.

The spelling of 34400900 in words is "thirty-four million, four hundred thousand, nine hundred".