33968988 has 36 divisors (see below), whose sum is σ = 86709168. Its totient is φ = 11211840.

The previous prime is 33968983. The next prime is 33968989. The reversal of 33968988 is 88986933.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33968981) 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, 873 + ... + 8288.

It is an arithmetic number, because the mean of its divisors is an integer number (2408588).

Almost surely, 2^33968988 is an apocalyptic number.

It is an amenable number.

33968988 is an abundant number, since it is smaller than the sum of its proper divisors (52740180).

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

33968988 is a wasteful number, since it uses less digits than its factorization.

33968988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 9269 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 33968988 is about 5828.2920311186. The cubic root of 33968988 is about 323.8626532625.

The spelling of 33968988 in words is "thirty-three million, nine hundred sixty-eight thousand, nine hundred eighty-eight".