33639228100 has 27 divisors (see below), whose sum is σ = 73001105191. Its totient is φ = 13454957600.

The previous prime is 33639228097. The next prime is 33639228137. The reversal of 33639228100 is 182293633.

The square root of 33639228100 is 183410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10792300996 + 22846927104 = 103886^2 + 151152^2 .

It is a super-2 number, since 2×33639228100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33639228100.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1824930 + ... + 1843270.

Almost surely, 2^33639228100 is an apocalyptic number.

33639228100 is the 183410-th square number.

It is an amenable number.

33639228100 is an abundant number, since it is smaller than the sum of its proper divisors (39361877091).

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

33639228100 is an frugal number, since it uses more digits than its factorization.

33639228100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36696 (or 18348 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 33639228100 in words is "thirty-three billion, six hundred thirty-nine million, two hundred twenty-eight thousand, one hundred".