34556564 has 48 divisors (see below), whose sum is σ = 71568000. Its totient is φ = 14591808.

The previous prime is 34556507. The next prime is 34556569. The reversal of 34556564 is 46565543.

It is a happy number.

It is a super-2 number, since 2×34556564² = 2388312230972192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34556569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121967 + ... + 122249.

It is an arithmetic number, because the mean of its divisors is an integer number (1491000).

Almost surely, 2^34556564 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 34556564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35784000).

34556564 is an abundant number, since it is smaller than the sum of its proper divisors (37011436).

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

34556564 is a wasteful number, since it uses less digits than its factorization.

34556564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its digits is 216000, while the sum is 38.

The square root of 34556564 is about 5878.4831376810. The cubic root of 34556564 is about 325.7193187969.

The spelling of 34556564 in words is "thirty-four million, five hundred fifty-six thousand, five hundred sixty-four".