33872800 has 72 divisors (see below), whose sum is σ = 89080236. Its totient is φ = 12503040.

The previous prime is 33872743. The next prime is 33872819. The reversal of 33872800 is 827833.

It can be written as a sum of positive squares in 6 ways, for example, as 12306064 + 21566736 = 3508^2 + 4644^2 .

It is a super-2 number, since 2×33872800² = 2294733159680000, which contains 22 as substring.

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, 8772 + ... + 12028.

Almost surely, 2^33872800 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 33872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44540118).

33872800 is an abundant number, since it is smaller than the sum of its proper divisors (55207436).

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

33872800 is a wasteful number, since it uses less digits than its factorization.

33872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 33872800 is about 5820.0343641597. The cubic root of 33872800 is about 323.5566766198.

The spelling of 33872800 in words is "thirty-three million, eight hundred seventy-two thousand, eight hundred".