34366900 has 36 divisors (see below), whose sum is σ = 74831148. Its totient is φ = 13699840.

The previous prime is 34366859. The next prime is 34366907. The reversal of 34366900 is 966343.

It can be written as a sum of positive squares in 6 ways, for example, as 13972644 + 20394256 = 3738^2 + 4516^2 .

It is a super-2 number, since 2×34366900² = 2362167631220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34366907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55392 + ... + 56008.

It is an arithmetic number, because the mean of its divisors is an integer number (2078643).

Almost surely, 2^34366900 is an apocalyptic number.

It is an amenable number.

34366900 is an abundant number, since it is smaller than the sum of its proper divisors (40464248).

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

34366900 is a wasteful number, since it uses less digits than its factorization.

34366900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 34366900 is about 5862.3288887608. The cubic root of 34366900 is about 325.1223208200.

The spelling of 34366900 in words is "thirty-four million, three hundred sixty-six thousand, nine hundred".