32938620100 has 27 divisors (see below), whose sum is σ = 71480744167. Its totient is φ = 13174722080.

The previous prime is 32938620089. The next prime is 32938620133. The reversal of 32938620100 is 102683923.

It is a happy number.

The square root of 32938620100 is 181490.

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 4163604676 + 28775015424 = 64526^2 + 169632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1805826 + ... + 1823974.

Almost surely, 2^32938620100 is an apocalyptic number.

32938620100 is the 181490-th square number.

It is an amenable number.

32938620100 is an abundant number, since it is smaller than the sum of its proper divisors (38542124067).

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

32938620100 is an frugal number, since it uses more digits than its factorization.

32938620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36312 (or 18156 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 32938620100 in words is "thirty-two billion, nine hundred thirty-eight million, six hundred twenty thousand, one hundred".