34131888 has 80 divisors (see below), whose sum is σ = 111976960. Its totient is φ = 9751104.

The previous prime is 34131859. The next prime is 34131907. The reversal of 34131888 is 88813143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 2620 + ... + 8667.

It is an arithmetic number, because the mean of its divisors is an integer number (1399712).

Almost surely, 2^34131888 is an apocalyptic number.

It is an amenable number.

34131888 is an abundant number, since it is smaller than the sum of its proper divisors (77845072).

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

34131888 is a wasteful number, since it uses less digits than its factorization.

34131888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311 (or 11299 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 34131888 is about 5842.2502514014. The cubic root of 34131888 is about 324.3795278195.

The spelling of 34131888 in words is "thirty-four million, one hundred thirty-one thousand, eight hundred eighty-eight".