33709968 has 60 divisors (see below), whose sum is σ = 95114448. Its totient is φ = 11144640.

The previous prime is 33709957. The next prime is 33709981. The reversal of 33709968 is 86990733.

It is a happy number.

It is a super-2 number, since 2×33709968² = 2272723885122048, which contains 22 as substring.

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, 17971 + ... + 19757.

Almost surely, 2^33709968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33709968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47557224).

33709968 is an abundant number, since it is smaller than the sum of its proper divisors (61404480).

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

33709968 is a wasteful number, since it uses less digits than its factorization.

33709968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 33709968 is about 5806.0285910422. The cubic root of 33709968 is about 323.0373806131.

The spelling of 33709968 in words is "thirty-three million, seven hundred nine thousand, nine hundred sixty-eight".