33680800 has 36 divisors (see below), whose sum is σ = 82225206. Its totient is φ = 13472000.

The previous prime is 33680797. The next prime is 33680807. The reversal of 33680800 is 808633.

It can be written as a sum of positive squares in 3 ways, for example, as 28858384 + 4822416 = 5372^2 + 2196^2 .

It is a super-2 number, since 2×33680800² = 2268792577280000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (33680807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20251 + ... + 21850.

Almost surely, 2^33680800 is an apocalyptic number.

It is an amenable number.

33680800 is an abundant number, since it is smaller than the sum of its proper divisors (48544406).

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

33680800 is a wasteful number, since it uses less digits than its factorization.

33680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42121 (or 42108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 33680800 is about 5803.5161755612. The cubic root of 33680800 is about 322.9441829252.

The spelling of 33680800 in words is "thirty-three million, six hundred eighty thousand, eight hundred".