33809968 has 20 divisors (see below), whose sum is σ = 68955160. Its totient is φ = 16015104.

The previous prime is 33809929. The next prime is 33809981. The reversal of 33809968 is 86990833.

It is a super-2 number, since 2×33809968² = 2286227872322048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55305 + ... + 55912.

It is an arithmetic number, because the mean of its divisors is an integer number (3447758).

Almost surely, 2^33809968 is an apocalyptic number.

33809968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

33809968 is an abundant number, since it is smaller than the sum of its proper divisors (35145192).

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

33809968 is a wasteful number, since it uses less digits than its factorization.

33809968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111244 (or 111238 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 33809968 is about 5814.6339523654. The cubic root of 33809968 is about 323.3564934226.

The spelling of 33809968 in words is "thirty-three million, eight hundred nine thousand, nine hundred sixty-eight".