34564056 has 64 divisors (see below), whose sum is σ = 91173600. Its totient is φ = 10902528.

The previous prime is 34564037. The next prime is 34564063. The reversal of 34564056 is 65046543.

It is a super-3 number, since 3×34564056³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 36420 + ... + 37356.

Almost surely, 2^34564056 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 34564056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45586800).

34564056 is an abundant number, since it is smaller than the sum of its proper divisors (56609544).

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

34564056 is a wasteful number, since it uses less digits than its factorization.

34564056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 34564056 is about 5879.1203423642. The cubic root of 34564056 is about 325.7428561756.

It can be divided in two parts, 345640 and 56, that added together give a triangular number (345696 = T₈₃₁).

The spelling of 34564056 in words is "thirty-four million, five hundred sixty-four thousand, fifty-six".