33384768 has 112 divisors (see below), whose sum is σ = 93634560. Its totient is φ = 10483200.

The previous prime is 33384763. The next prime is 33384779. The reversal of 33384768 is 86748333.

It is a super-2 number, since 2×33384768² = 2229085468827648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33384763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422553 + ... + 422631.

Almost surely, 2^33384768 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 33384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46817280).

33384768 is an abundant number, since it is smaller than the sum of its proper divisors (60249792).

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

33384768 is a wasteful number, since it uses less digits than its factorization.

33384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 33384768 is about 5777.9553476987. The cubic root of 33384768 is about 321.9952418828.

The spelling of 33384768 in words is "thirty-three million, three hundred eighty-four thousand, seven hundred sixty-eight".