33385900 has 36 divisors (see below), whose sum is σ = 72698472. Its totient is φ = 13308160.

The previous prime is 33385889. The next prime is 33385901. The reversal of 33385900 is 958333.

It is a super-2 number, since 2×33385900² = 2229236637620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33385901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56004 + ... + 56596.

It is an arithmetic number, because the mean of its divisors is an integer number (2019402).

Almost surely, 2^33385900 is an apocalyptic number.

It is an amenable number.

33385900 is an abundant number, since it is smaller than the sum of its proper divisors (39312572).

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

33385900 is a wasteful number, since it uses less digits than its factorization.

33385900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 33385900 is about 5778.0533053962. The cubic root of 33385900 is about 321.9988812121.

The spelling of 33385900 in words is "thirty-three million, three hundred eighty-five thousand, nine hundred".