34044864 has 112 divisors (see below), whose sum is σ = 104656128. Its totient is φ = 9566208.

The previous prime is 34044823. The next prime is 34044877. The reversal of 34044864 is 46844043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×34044864³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97939 + ... + 98285.

Almost surely, 2^34044864 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 34044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52328064).

34044864 is an abundant number, since it is smaller than the sum of its proper divisors (70611264).

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

34044864 is a wasteful number, since it uses less digits than its factorization.

34044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 34044864 is about 5834.7976828678. The cubic root of 34044864 is about 324.1036096013.

The spelling of 34044864 in words is "thirty-four million, forty-four thousand, eight hundred sixty-four".