33984320 has 56 divisors (see below), whose sum is σ = 82299048. Its totient is φ = 13363200.

The previous prime is 33984283. The next prime is 33984323. The reversal of 33984320 is 2348933.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4129024 + 29855296 = 2032^2 + 5464^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33984323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18650 + ... + 20390.

Almost surely, 2^33984320 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 33984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41149524).

33984320 is an abundant number, since it is smaller than the sum of its proper divisors (48314728).

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

33984320 is a wasteful number, since it uses less digits than its factorization.

33984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 33984320 is about 5829.6071908834. The cubic root of 33984320 is about 323.9113713789.

The spelling of 33984320 in words is "thirty-three million, nine hundred eighty-four thousand, three hundred twenty".