34311808 has 32 divisors (see below), whose sum is σ = 68779620. Its totient is φ = 17049600.

The previous prime is 34311799. The next prime is 34311811. The reversal of 34311808 is 80811343.

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 4631104 = 5448^2 + 2152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×34311808⁴ (a number of 31 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22428 + ... + 23908.

Almost surely, 2^34311808 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 34311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34389810).

34311808 is an abundant number, since it is smaller than the sum of its proper divisors (34467812).

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

34311808 is a wasteful number, since it uses less digits than its factorization.

34311808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 34311808 is about 5857.6281889516. The cubic root of 34311808 is about 324.9484983480.

The spelling of 34311808 in words is "thirty-four million, three hundred eleven thousand, eight hundred eight".