33820800112 has 80 divisors (see below), whose sum is σ = 75183759360. Its totient is φ = 14596358400.

The previous prime is 33820800089. The next prime is 33820800119. The reversal of 33820800112 is 21100802833.

It is a super-2 number, since 2×33820800112² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33820800119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230689 + ... + 347647.

It is an arithmetic number, because the mean of its divisors is an integer number (939796992).

Almost surely, 2^33820800112 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 33820800112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37591879680).

33820800112 is an abundant number, since it is smaller than the sum of its proper divisors (41362959248).

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

33820800112 is a wasteful number, since it uses less digits than its factorization.

33820800112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117062 (or 117056 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 33820800112 in words is "thirty-three billion, eight hundred twenty million, eight hundred thousand, one hundred twelve".