33996800 has 90 divisors (see below), whose sum is σ = 85325268. Its totient is φ = 13434880.

The previous prime is 33996799. The next prime is 33996811. The reversal of 33996800 is 869933.

It is a happy number.

It is a super-3 number, since 3×33996800³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409559 + ... + 409641.

Almost surely, 2^33996800 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 33996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42662634).

33996800 is an abundant number, since it is smaller than the sum of its proper divisors (51328468).

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

33996800 is an frugal number, since it uses more digits than its factorization.

33996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 33996800 is about 5830.6774906524. The cubic root of 33996800 is about 323.9510163209.

The spelling of 33996800 in words is "thirty-three million, nine hundred ninety-six thousand, eight hundred".