33396800 has 42 divisors (see below), whose sum is σ = 82180938. Its totient is φ = 13358080.

The previous prime is 33396799. The next prime is 33396833. The reversal of 33396800 is 869333.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 32535616 = 928^2 + 5704^2 .

It is a super-2 number, since 2×33396800² = 2230692500480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8837 + ... + 12036.

It is an arithmetic number, because the mean of its divisors is an integer number (1956689).

Almost surely, 2^33396800 is an apocalyptic number.

It is an amenable number.

33396800 is an abundant number, since it is smaller than the sum of its proper divisors (48784138).

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

33396800 is a wasteful number, since it uses less digits than its factorization.

33396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20895 (or 20880 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 33396800 is about 5778.9964526724. The cubic root of 33396800 is about 322.0339200150.

The spelling of 33396800 in words is "thirty-three million, three hundred ninety-six thousand, eight hundred".