34056512 has 56 divisors (see below), whose sum is σ = 81320640. Its totient is φ = 13824000.

The previous prime is 34056509. The next prime is 34056521. The reversal of 34056512 is 21565043.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×34056512² = 2319692019212288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6512 + ... + 10512.

Almost surely, 2^34056512 is an apocalyptic number.

34056512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40660320).

34056512 is an abundant number, since it is smaller than the sum of its proper divisors (47264128).

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

34056512 is a wasteful number, since it uses less digits than its factorization.

34056512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 34056512 is about 5835.7957469397. The cubic root of 34056512 is about 324.1405679747.

The spelling of 34056512 in words is "thirty-four million, fifty-six thousand, five hundred twelve".