33968200 has 96 divisors (see below), whose sum is σ = 95083200. Its totient is φ = 11024640.

The previous prime is 33968173. The next prime is 33968201. The reversal of 33968200 is 286933.

It is a happy number.

It is a super-2 number, since 2×33968200² = 2307677222480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33968201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25962 + ... + 27238.

It is an arithmetic number, because the mean of its divisors is an integer number (990450).

Almost surely, 2^33968200 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 33968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47541600).

33968200 is an abundant number, since it is smaller than the sum of its proper divisors (61115000).

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

33968200 is a wasteful number, since it uses less digits than its factorization.

33968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 33968200 is about 5828.2244294468. The cubic root of 33968200 is about 323.8601489612.

The spelling of 33968200 in words is "thirty-three million, nine hundred sixty-eight thousand, two hundred".