33809891328 has 108 divisors (see below), whose sum is σ = 97676054658. Its totient is φ = 11269570560.

The previous prime is 33809891327. The next prime is 33809891333. The reversal of 33809891328 is 82319890833.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18898550784 + 14911340544 = 137472^2 + 122112^2 .

It is a super-2 number, since 2×33809891328² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33809891327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1165318 + ... + 1193978.

Almost surely, 2^33809891328 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 33809891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48838027329).

33809891328 is an abundant number, since it is smaller than the sum of its proper divisors (63866163330).

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

33809891328 is an frugal number, since it uses more digits than its factorization.

33809891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28701 (or 28666 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 33809891328 in words is "thirty-three billion, eight hundred nine million, eight hundred ninety-one thousand, three hundred twenty-eight".