34138900 has 36 divisors (see below), whose sum is σ = 77307552. Its totient is φ = 13060960.

The previous prime is 34138891. The next prime is 34138903. The reversal of 34138900 is 983143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34138903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5122 + ... + 9721.

It is an arithmetic number, because the mean of its divisors is an integer number (2147432).

Almost surely, 2^34138900 is an apocalyptic number.

It is an amenable number.

34138900 is an abundant number, since it is smaller than the sum of its proper divisors (43168652).

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

34138900 is a wasteful number, since it uses less digits than its factorization.

34138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14880 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 34138900 is about 5842.8503318158. The cubic root of 34138900 is about 324.4017396341.

The spelling of 34138900 in words is "thirty-four million, one hundred thirty-eight thousand, nine hundred".