33872384 has 80 divisors (see below), whose sum is σ = 83411328. Its totient is φ = 13381632.

The previous prime is 33872369. The next prime is 33872411. The reversal of 33872384 is 48327833.

It is a super-2 number, since 2×33872384² = 2294676795686912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46229 + ... + 46955.

Almost surely, 2^33872384 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 33872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41705664).

33872384 is an abundant number, since it is smaller than the sum of its proper divisors (49538944).

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

33872384 is an equidigital number, since it uses as much as digits as its factorization.

33872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 33872384 is about 5819.9986254294. The cubic root of 33872384 is about 323.5553520552. Note that the first 3 decimals are identical.

The spelling of 33872384 in words is "thirty-three million, eight hundred seventy-two thousand, three hundred eighty-four".