34564920 has 64 divisors (see below), whose sum is σ = 111676320. Its totient is φ = 8507904.

The previous prime is 34564909. The next prime is 34564931. The reversal of 34564920 is 2946543.

34564920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34564909) and next prime (34564931).

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 15 ways as a sum of consecutive naturals, for example, 9519 + ... + 12638.

Almost surely, 2^34564920 is an apocalyptic number.

34564920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34564920 is an abundant number, since it is smaller than the sum of its proper divisors (77111400).

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

34564920 is a wasteful number, since it uses less digits than its factorization.

34564920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22184 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 34564920 is about 5879.1938222855. The cubic root of 34564920 is about 325.7455703583.

The spelling of 34564920 in words is "thirty-four million, five hundred sixty-four thousand, nine hundred twenty".