34014564 has 72 divisors (see below), whose sum is σ = 91902720. Its totient is φ = 10584000.

The previous prime is 34014559. The next prime is 34014577. The reversal of 34014564 is 46541043.

It is a super-2 number, since 2×34014564² = 2313981128220192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31839 + ... + 32889.

Almost surely, 2^34014564 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 34014564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45951360).

34014564 is an abundant number, since it is smaller than the sum of its proper divisors (57888156).

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

34014564 is a wasteful number, since it uses less digits than its factorization.

34014564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34014564 is about 5832.2006138335. The cubic root of 34014564 is about 324.0074300994.

The spelling of 34014564 in words is "thirty-four million, fourteen thousand, five hundred sixty-four".