33872810180 has 72 divisors (see below), whose sum is σ = 78386572824. Its totient is φ = 12286010880.

The previous prime is 33872810137. The next prime is 33872810189. The reversal of 33872810180 is 8101827833.

It can be written as a sum of positive squares in 4 ways, for example, as 215972416 + 33656837764 = 14696^2 + 183458^2 .

It is a super-2 number, since 2×33872810180² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33872810189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943112 + ... + 978368.

Almost surely, 2^33872810180 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 33872810180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39193286412).

33872810180 is an abundant number, since it is smaller than the sum of its proper divisors (44513762644).

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

33872810180 is a wasteful number, since it uses less digits than its factorization.

33872810180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35685 (or 35672 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 33872810180 in words is "thirty-three billion, eight hundred seventy-two million, eight hundred ten thousand, one hundred eighty".