33804200 has 48 divisors (see below), whose sum is σ = 79129980. Its totient is φ = 13429760.

The previous prime is 33804193. The next prime is 33804223. The reversal of 33804200 is 240833.

It can be written as a sum of positive squares in 6 ways, for example, as 28111204 + 5692996 = 5302^2 + 2386^2 .

It is a super-2 number, since 2×33804200² = 2285447875280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 34112 + ... + 35088.

Almost surely, 2^33804200 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 33804200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39564990).

33804200 is an abundant number, since it is smaller than the sum of its proper divisors (45325780).

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

33804200 is a wasteful number, since it uses less digits than its factorization.

33804200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 33804200 is about 5814.1379412601. The cubic root of 33804200 is about 323.3381041088.

The spelling of 33804200 in words is "thirty-three million, eight hundred four thousand, two hundred".