3963686791801 has 27 divisors (see below), whose sum is σ = 4380765866127. Its totient is φ = 3583621800000.

The previous prime is 3963686791783. The next prime is 3963686791819. The reversal of 3963686791801 is 1081976863693.

The square root of 3963686791801 is 1990901.

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

It is an interprime number because it is at equal distance from previous prime (3963686791783) and next prime (3963686791819).

It can be written as a sum of positive squares in only one way, i.e., 2980971449401 + 982715342400 = 1726549^2 + 991320^2 .

It is not a de Polignac number, because 3963686791801 - 2⁹ = 3963686791289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3963686791861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5277878176 + ... + 5277878926.

Almost surely, 2^{3963686791801} is an apocalyptic number.

3963686791801 is the 1990901-st square number.

3963686791801 is the 995451-st centered octagonal number.

It is an amenable number.

3963686791801 is a deficient number, since it is larger than the sum of its proper divisors (417079074326).

3963686791801 is an frugal number, since it uses more digits than its factorization.

3963686791801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 67.

The spelling of 3963686791801 in words is "three trillion, nine hundred sixty-three billion, six hundred eighty-six million, seven hundred ninety-one thousand, eight hundred one".