33468800 has 48 divisors (see below), whose sum is σ = 82686300. Its totient is φ = 13386240.

The previous prime is 33468791. The next prime is 33468817. The reversal of 33468800 is 886433.

It is a super-2 number, since 2×33468800² = 2240321146880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2030 + ... + 8429.

Almost surely, 2^33468800 is an apocalyptic number.

It is an amenable number.

33468800 is an abundant number, since it is smaller than the sum of its proper divisors (49217500).

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

33468800 is a wasteful number, since it uses less digits than its factorization.

33468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10466 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 33468800 is about 5785.2225540596. Note that the first 3 decimals coincide. The cubic root of 33468800 is about 322.2651776970.

The spelling of 33468800 in words is "thirty-three million, four hundred sixty-eight thousand, eight hundred".