3191617980100 has 243 divisors, whose sum is σ = 7735060882101. Its totient is φ = 1142223033600.

The previous prime is 3191617980077. The next prime is 3191617980113. The reversal of 3191617980100 is 10897161913.

The square root of 3191617980100 is 1786510.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2684662588036 + 506955392064 = 1638494^2 + 712008^2 .

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 80 ways as a sum of consecutive naturals, for example, 21420254826 + ... + 21420254974.

Almost surely, 2^{3191617980100} is an apocalyptic number.

3191617980100 is the 1786510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3191617980100

3191617980100 is an abundant number, since it is smaller than the sum of its proper divisors (4543442902001).

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

3191617980100 is a wasteful number, since it uses less digits than its factorization.

3191617980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 46.

The spelling of 3191617980100 in words is "three trillion, one hundred ninety-one billion, six hundred seventeen million, nine hundred eighty thousand, one hundred".