33872400 has 135 divisors (see below), whose sum is σ = 118770951. Its totient is φ = 8939520.

The previous prime is 33872369. The next prime is 33872411. The reversal of 33872400 is 427833.

The square root of 33872400 is 5820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 32626944 = 1116^2 + 5712^2 .

It is a super-2 number, since 2×33872400² = 2294678963520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 349152 + ... + 349248.

Almost surely, 2^33872400 is an apocalyptic number.

33872400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33872400 is the 5820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33872400

33872400 is an abundant number, since it is smaller than the sum of its proper divisors (84898551).

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

33872400 is a wasteful number, since it uses less digits than its factorization.

33872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 33872400 is about 323.5554030002. Note that the first 3 decimals are identical.

The spelling of 33872400 in words is "thirty-three million, eight hundred seventy-two thousand, four hundred".