34900 has 18 divisors (see below), whose sum is σ = 75950. Its totient is φ = 13920.

The previous prime is 34897. The next prime is 34913. The reversal of 34900 is 943.

34900 = 26² + 27² + ... + 49².

It can be written as a sum of positive squares in 3 ways, for example, as 4624 + 30276 = 68^2 + 174^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 274.

2³⁴⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

34900 is an abundant number, since it is smaller than the sum of its proper divisors (41050).

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

34900 is a wasteful number, since it uses less digits than its factorization.

34900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 34900 is about 186.8154169227. The cubic root of 34900 is about 32.6794803727.

The spelling of 34900 in words is "thirty-four thousand, nine hundred".