33883920 has 280 divisors, whose sum is σ = 136616256. Its totient is φ = 7651584.

The previous prime is 33883909. The next prime is 33883921. The reversal of 33883920 is 2938833.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×33883920² = 2296240069132800, which contains 22 as substring.

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 (33883921) 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 55 ways as a sum of consecutive naturals, for example, 408199 + ... + 408281.

Almost surely, 2^33883920 is an apocalyptic number.

33883920 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 33883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68308128).

33883920 is an abundant number, since it is smaller than the sum of its proper divisors (102732336).

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

33883920 is an equidigital number, since it uses as much as digits as its factorization.

33883920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 33883920 is about 5820.9896065875. The cubic root of 33883920 is about 323.5920792299.

The spelling of 33883920 in words is "thirty-three million, eight hundred eighty-three thousand, nine hundred twenty".