33640844227100 has 144 divisors (see below), whose sum is σ = 80131365847680. Its totient is φ = 12157298899200.

The previous prime is 33640844226973. The next prime is 33640844227121. The reversal of 33640844227100 is 172244804633.

It is a super-2 number, since 2×33640844227100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137667227 + ... + 137911373.

Almost surely, 2^{33640844227100} 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 33640844227100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40065682923840).

33640844227100 is an abundant number, since it is smaller than the sum of its proper divisors (46490521620580).

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

33640844227100 is a wasteful number, since it uses less digits than its factorization.

33640844227100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244948 (or 244941 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 33640844227100 in words is "thirty-three trillion, six hundred forty billion, eight hundred forty-four million, two hundred twenty-seven thousand, one hundred".