34438100 has 36 divisors (see below), whose sum is σ = 74987388. Its totient is φ = 13728000.

The previous prime is 34438097. The next prime is 34438133. The reversal of 34438100 is 183443.

It can be written as a sum of positive squares in 6 ways, for example, as 309136 + 34128964 = 556^2 + 5842^2 .

It is a super-2 number, since 2×34438100² = 2371965463220000, 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 11 ways as a sum of consecutive naturals, for example, 51770 + ... + 52430.

It is an arithmetic number, because the mean of its divisors is an integer number (2082983).

Almost surely, 2^34438100 is an apocalyptic number.

It is an amenable number.

34438100 is an abundant number, since it is smaller than the sum of its proper divisors (40549288).

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

34438100 is a wasteful number, since it uses less digits than its factorization.

34438100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 34438100 is about 5868.3984186488. The cubic root of 34438100 is about 325.3466911824.

The spelling of 34438100 in words is "thirty-four million, four hundred thirty-eight thousand, one hundred".