33839138320 has 160 divisors (see below), whose sum is σ = 90412963200. Its totient is φ = 11674202112.

The previous prime is 33839138261. The next prime is 33839138329. The reversal of 33839138320 is 2383193833.

It is a super-2 number, since 2×33839138320² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33839138329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430751 + ... + 1454209.

It is an arithmetic number, because the mean of its divisors is an integer number (565081020).

Almost surely, 2^33839138320 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 33839138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45206481600).

33839138320 is an abundant number, since it is smaller than the sum of its proper divisors (56573824880).

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

33839138320 is a wasteful number, since it uses less digits than its factorization.

33839138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23577 (or 23571 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 33839138320 in words is "thirty-three billion, eight hundred thirty-nine million, one hundred thirty-eight thousand, three hundred twenty".