34640400 has 60 divisors (see below), whose sum is σ = 110968592. Its totient is φ = 9237120.

The previous prime is 34640383. The next prime is 34640447. The reversal of 34640400 is 404643.

It is a tau number, because it is divible by the number of its divisors (60).

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, 13234 + ... + 15633.

Almost surely, 2^34640400 is an apocalyptic number.

34640400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34640400 is an abundant number, since it is smaller than the sum of its proper divisors (76328192).

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

34640400 is a wasteful number, since it uses less digits than its factorization.

34640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28888 (or 28877 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34640400 is about 5885.6095691101. The cubic root of 34640400 is about 325.9825100080.

The spelling of 34640400 in words is "thirty-four million, six hundred forty thousand, four hundred".