34407864 has 48 divisors (see below), whose sum is σ = 98673120. Its totient is φ = 10794240.

The previous prime is 34407859. The next prime is 34407907. The reversal of 34407864 is 46870443.

It is a super-2 number, since 2×34407864² = 2367802210084992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 12832 + ... + 15279.

It is an arithmetic number, because the mean of its divisors is an integer number (2055690).

Almost surely, 2^34407864 is an apocalyptic number.

34407864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34407864 is an abundant number, since it is smaller than the sum of its proper divisors (64265256).

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

34407864 is a wasteful number, since it uses less digits than its factorization.

34407864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28140 (or 28133 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34407864 is about 5865.8216815720. The cubic root of 34407864 is about 325.2514472238.

The spelling of 34407864 in words is "thirty-four million, four hundred seven thousand, eight hundred sixty-four".