33138400 has 72 divisors (see below), whose sum is σ = 84463344. Its totient is φ = 12672000.

The previous prime is 33138397. The next prime is 33138419. The reversal of 33138400 is 483133.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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, 17500 + ... + 19300.

It is an arithmetic number, because the mean of its divisors is an integer number (1173102).

Almost surely, 2^33138400 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 33138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42231672).

33138400 is an abundant number, since it is smaller than the sum of its proper divisors (51324944).

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

33138400 is a wasteful number, since it uses less digits than its factorization.

33138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 33138400 is about 5756.5962165155. The cubic root of 33138400 is about 321.2012144119.

The spelling of 33138400 in words is "thirty-three million, one hundred thirty-eight thousand, four hundred".