39081336100 has 81 divisors (see below), whose sum is σ = 86669168313. Its totient is φ = 15296461440.

The previous prime is 39081336097. The next prime is 39081336131. The reversal of 39081336100 is 163318093.

The square root of 39081336100 is 197690.

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

39081336100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 14497604836 + 24583731264 = 120406^2 + 156792^2 .

It is a super-2 number, since 2×39081336100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104775514 + ... + 104775886.

Almost surely, 2^39081336100 is an apocalyptic number.

39081336100 is the 197690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39081336100

39081336100 is an abundant number, since it is smaller than the sum of its proper divisors (47587832213).

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

39081336100 is an equidigital number, since it uses as much as digits as its factorization.

39081336100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

Multiplying 39081336100 by its product of nonzero digits (11664), we get a square (455844704270400 = 21350520²).

The spelling of 39081336100 in words is "thirty-nine billion, eighty-one million, three hundred thirty-six thousand, one hundred".