33230905920 has 168 divisors, whose sum is σ = 114377687424. Its totient is φ = 8855589888.

The previous prime is 33230905913. The next prime is 33230905933. The reversal of 33230905920 is 2950903233.

33230905920 is a `hidden beast` number, since 3 + 32 + 30 + 9 + 0 + 592 + 0 = 666.

It is a super-2 number, since 2×33230905920² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5719657 + ... + 5725463.

It is an arithmetic number, because the mean of its divisors is an integer number (680819568).

Almost surely, 2^33230905920 is an apocalyptic number.

33230905920 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 33230905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57188843712).

33230905920 is an abundant number, since it is smaller than the sum of its proper divisors (81146781504).

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

33230905920 is a wasteful number, since it uses less digits than its factorization.

33230905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 33230905920 in words is "thirty-three billion, two hundred thirty million, nine hundred five thousand, nine hundred twenty".