3965849205136 has 135 divisors (see below), whose sum is σ = 9680559468993. Its totient is φ = 1568620609920.

The previous prime is 3965849205037. The next prime is 3965849205139. The reversal of 3965849205136 is 6315029485693.

The square root of 3965849205136 is 1991444.

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

3965849205136 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 only one way, i.e., 586664083600 + 3379185121536 = 765940^2 + 1838256^2 .

It is not an unprimeable number, because it can be changed into a prime (3965849205139) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 724882881 + ... + 724888351.

Almost surely, 2^{3965849205136} is an apocalyptic number.

3965849205136 is the 1991444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965849205136

3965849205136 is an abundant number, since it is smaller than the sum of its proper divisors (5714710263857).

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

3965849205136 is an frugal number, since it uses more digits than its factorization.

3965849205136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 61.

The spelling of 3965849205136 in words is "three trillion, nine hundred sixty-five billion, eight hundred forty-nine million, two hundred five thousand, one hundred thirty-six".