33318880 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 11235840.

The previous prime is 33318877. The next prime is 33318889. The reversal of 33318880 is 8881333.

It is a super-2 number, since 2×33318880² = 2220295528908800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33318889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79311 + ... + 79729.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^33318880 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 33318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

33318880 is an abundant number, since it is smaller than the sum of its proper divisors (58126880).

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

33318880 is a wasteful number, since it uses less digits than its factorization.

33318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 33318880 is about 5772.2508607995. The cubic root of 33318880 is about 321.7832730109.

The spelling of 33318880 in words is "thirty-three million, three hundred eighteen thousand, eight hundred eighty".