33838872 has 64 divisors (see below), whose sum is σ = 87436800. Its totient is φ = 10907520.

The previous prime is 33838843. The next prime is 33838877. The reversal of 33838872 is 27883833.

It is a super-2 number, since 2×33838872² = 2290138516464768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33838877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147654 + ... + 147882.

It is an arithmetic number, because the mean of its divisors is an integer number (1366200).

Almost surely, 2^33838872 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 33838872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43718400).

33838872 is an abundant number, since it is smaller than the sum of its proper divisors (53597928).

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

33838872 is a wasteful number, since it uses less digits than its factorization.

33838872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 33838872 is about 5817.1188744945. The cubic root of 33838872 is about 323.4486125473.

The spelling of 33838872 in words is "thirty-three million, eight hundred thirty-eight thousand, eight hundred seventy-two".