34968564 has 72 divisors (see below), whose sum is σ = 93717120. Its totient is φ = 11270736.

The previous prime is 34968551. The next prime is 34968581. The reversal of 34968564 is 46586943.

34968564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (622080) is a multiple of the sum of its prime divisors (135).

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 23 ways as a sum of consecutive naturals, for example, 421267 + ... + 421349.

Almost surely, 2^34968564 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 34968564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46858560).

34968564 is an abundant number, since it is smaller than the sum of its proper divisors (58748556).

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

34968564 is a wasteful number, since it uses less digits than its factorization.

34968564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 135 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 34968564 is about 5913.4223593449. The cubic root of 34968564 is about 327.0086690741.

The spelling of 34968564 in words is "thirty-four million, nine hundred sixty-eight thousand, five hundred sixty-four".