33984864 has 72 divisors (see below), whose sum is σ = 97297200. Its totient is φ = 11251968.

The previous prime is 33984829. The next prime is 33984889. The reversal of 33984864 is 46848933.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 56437 + ... + 57035.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^33984864 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 33984864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48648600).

33984864 is an abundant number, since it is smaller than the sum of its proper divisors (63312336).

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

33984864 is a wasteful number, since it uses less digits than its factorization.

33984864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 33984864 is about 5829.6538490720. The cubic root of 33984864 is about 323.9130996940.

The spelling of 33984864 in words is "thirty-three million, nine hundred eighty-four thousand, eight hundred sixty-four".