33801920 has 56 divisors (see below), whose sum is σ = 81649824. Its totient is φ = 13326336.

The previous prime is 33801877. The next prime is 33801949. The reversal of 33801920 is 2910833.

It is a super-2 number, since 2×33801920² = 2285139591372800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33801920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22637 + ... + 24083.

Almost surely, 2^33801920 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 33801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824912).

33801920 is an abundant number, since it is smaller than the sum of its proper divisors (47847904).

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

33801920 is a wasteful number, since it uses less digits than its factorization.

33801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 33801920 is about 5813.9418641744. The cubic root of 33801920 is about 323.3308345244.

The spelling of 33801920 in words is "thirty-three million, eight hundred one thousand, nine hundred twenty".