33364800 has 252 divisors, whose sum is σ = 135936736. Its totient is φ = 7603200.

The previous prime is 33364777. The next prime is 33364801. The reversal of 33364800 is 846333.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×33364800² = 2226419758080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33364801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100635 + ... + 100965.

Almost surely, 2^33364800 is an apocalyptic number.

33364800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67968368).

33364800 is an abundant number, since it is smaller than the sum of its proper divisors (102571936).

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

33364800 is a wasteful number, since it uses less digits than its factorization.

33364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33364800 is about 5776.2271423482. The cubic root of 33364800 is about 321.9310321280.

The spelling of 33364800 in words is "thirty-three million, three hundred sixty-four thousand, eight hundred".