3872772100096 has 117 divisors (see below), whose sum is σ = 7850026272459. Its totient is φ = 1910377807872.

The previous prime is 3872772100063. The next prime is 3872772100097. The reversal of 3872772100096 is 6900012772783.

The square root of 3872772100096 is 1967936.

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 1226033565696 + 2646738534400 = 1107264^2 + 1626880^2 .

It is a super-3 number, since 3×3872772100096³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3872772100097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12216946530 + ... + 12216946846.

Almost surely, 2^{3872772100096} is an apocalyptic number.

3872772100096 is the 1967936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872772100096

3872772100096 is an abundant number, since it is smaller than the sum of its proper divisors (3977254172363).

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

3872772100096 is an frugal number, since it uses more digits than its factorization.

3872772100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 3872772100096 in words is "three trillion, eight hundred seventy-two billion, seven hundred seventy-two million, one hundred thousand, ninety-six".