33803968 has 28 divisors (see below), whose sum is σ = 73179432. Its totient is φ = 15365120.

The previous prime is 33803953. The next prime is 33803969. The reversal of 33803968 is 86930833.

It is a super-2 number, since 2×33803968² = 2285416505090048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33803968.

It is not an unprimeable number, because it can be changed into a prime (33803969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23305 + ... + 24712.

Almost surely, 2^33803968 is an apocalyptic number.

It is an amenable number.

33803968 is an abundant number, since it is smaller than the sum of its proper divisors (39375464).

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

33803968 is a wasteful number, since it uses less digits than its factorization.

33803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48040 (or 48030 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 33803968 is about 5814.1179898588. The cubic root of 33803968 is about 323.3373644117.

The spelling of 33803968 in words is "thirty-three million, eight hundred three thousand, nine hundred sixty-eight".