33363800 has 48 divisors (see below), whose sum is σ = 80954640. Its totient is φ = 12763520.

The previous prime is 33363797. The next prime is 33363817. The reversal of 33363800 is 836333.

It is a super-2 number, since 2×33363800² = 2226286300880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33363800.

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, 974 + ... + 8226.

It is an arithmetic number, because the mean of its divisors is an integer number (1686555).

Almost surely, 2^33363800 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 33363800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40477320).

33363800 is an abundant number, since it is smaller than the sum of its proper divisors (47590840).

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

33363800 is a wasteful number, since it uses less digits than its factorization.

33363800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 33363800 is about 5776.1405800067. The cubic root of 33363800 is about 321.9278158217.

The spelling of 33363800 in words is "thirty-three million, three hundred sixty-three thousand, eight hundred".