34401264 has 20 divisors (see below), whose sum is σ = 88870056. Its totient is φ = 11467072.

The previous prime is 34401239. The next prime is 34401271. The reversal of 34401264 is 46210443.

34401264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 358299 + ... + 358394.

Almost surely, 2^34401264 is an apocalyptic number.

It is an amenable number.

34401264 is an abundant number, since it is smaller than the sum of its proper divisors (54468792).

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

34401264 is a wasteful number, since it uses less digits than its factorization.

34401264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716704 (or 716698 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34401264 is about 5865.2590735619. The cubic root of 34401264 is about 325.2306496834.

The spelling of 34401264 in words is "thirty-four million, four hundred one thousand, two hundred sixty-four".