33949800 has 96 divisors (see below), whose sum is σ = 116956800. Its totient is φ = 9051840.

The previous prime is 33949793. The next prime is 33949801. The reversal of 33949800 is 894933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33949801) 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, 2257 + ... + 8543.

It is an arithmetic number, because the mean of its divisors is an integer number (1218300).

Almost surely, 2^33949800 is an apocalyptic number.

33949800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58478400).

33949800 is an abundant number, since it is smaller than the sum of its proper divisors (83007000).

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

33949800 is a wasteful number, since it uses less digits than its factorization.

33949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 33949800 is about 5826.6456902750. The cubic root of 33949800 is about 323.8016618759.

The spelling of 33949800 in words is "thirty-three million, nine hundred forty-nine thousand, eight hundred".