33000800 has 144 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 11020800.

The previous prime is 33000797. The next prime is 33000827. The reversal of 33000800 is 800033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397559 + ... + 397641.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^33000800 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 33000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

33000800 is an abundant number, since it is smaller than the sum of its proper divisors (61493152).

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

33000800 is a wasteful number, since it uses less digits than its factorization.

33000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 33000800 is about 5744.6322771784. The cubic root of 33000800 is about 320.7560249256.

Adding to 33000800 its reverse (800033), we get a palindrome (33800833).

The spelling of 33000800 in words is "thirty-three million, eight hundred", and thus it is an aban number.