34701264 has 160 divisors (see below), whose sum is σ = 110826240. Its totient is φ = 10326528.

The previous prime is 34701259. The next prime is 34701281. The reversal of 34701264 is 46210743.

34701264 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 (27).

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 31 ways as a sum of consecutive naturals, for example, 207709 + ... + 207875.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^34701264 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 34701264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55413120).

34701264 is an abundant number, since it is smaller than the sum of its proper divisors (76124976).

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

34701264 is a wasteful number, since it uses less digits than its factorization.

34701264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34701264 is about 5890.7778773266. Note that the first 3 decimals coincide. The cubic root of 34701264 is about 326.1733179537.

The spelling of 34701264 in words is "thirty-four million, seven hundred one thousand, two hundred sixty-four".