34800864 has 48 divisors (see below), whose sum is σ = 104404608. Its totient is φ = 9942912.

The previous prime is 34800859. The next prime is 34800893. The reversal of 34800864 is 46800843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34800864² = 2422200270292992, 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, 25222 + ... + 26565.

It is an arithmetic number, because the mean of its divisors is an integer number (2175096).

Almost surely, 2^34800864 is an apocalyptic number.

It is an amenable number.

34800864 is an abundant number, since it is smaller than the sum of its proper divisors (69603744).

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

34800864 is a wasteful number, since it uses less digits than its factorization.

34800864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51807 (or 51799 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34800864 is about 5899.2257119049. The cubic root of 34800864 is about 326.4850821067.

The spelling of 34800864 in words is "thirty-four million, eight hundred thousand, eight hundred sixty-four".