33880339920 has 160 divisors (see below), whose sum is σ = 120102098688. Its totient is φ = 7739633664.

The previous prime is 33880339903. The next prime is 33880339951. The reversal of 33880339920 is 2993308833.

It is a super-2 number, since 2×33880339920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 33880339920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3585442 + ... + 3594878.

Almost surely, 2^33880339920 is an apocalyptic number.

33880339920 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 33880339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60051049344).

33880339920 is an abundant number, since it is smaller than the sum of its proper divisors (86221758768).

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

33880339920 is a wasteful number, since it uses less digits than its factorization.

33880339920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 33880339920 in words is "thirty-three billion, eight hundred eighty million, three hundred thirty-nine thousand, nine hundred twenty".