33952900 has 36 divisors (see below), whose sum is σ = 74165392. Its totient is φ = 13491360.

The previous prime is 33952889. The next prime is 33952901. The reversal of 33952900 is 925933.

It is not an unprimeable number, because it can be changed into a prime (33952901) 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 11 ways as a sum of consecutive naturals, for example, 15259 + ... + 17341.

Almost surely, 2^33952900 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 33952900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37082696).

33952900 is an abundant number, since it is smaller than the sum of its proper divisors (40212492).

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

33952900 is a wasteful number, since it uses less digits than its factorization.

33952900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 33952900 is about 5826.9117034669. The cubic root of 33952900 is about 323.8115171583.

The spelling of 33952900 in words is "thirty-three million, nine hundred fifty-two thousand, nine hundred".