3972605087763 has 64 divisors (see below), whose sum is σ = 6371914752000. Its totient is φ = 2431629383040.

The previous prime is 3972605087743. The next prime is 3972605087767. The reversal of 3972605087763 is 3677805062793.

3972605087763 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 60 + 508 + 7 + 7 + 63 = 666.

3972605087763 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3972605087763 - 2¹³ = 3972605079571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3972605087763.

It is not an unprimeable number, because it can be changed into a prime (3972605087767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288259933 + ... + 288273713.

It is an arithmetic number, because the mean of its divisors is an integer number (99561168000).

Almost surely, 2^{3972605087763} is an apocalyptic number.

3972605087763 is a deficient number, since it is larger than the sum of its proper divisors (2399309664237).

3972605087763 is a wasteful number, since it uses less digits than its factorization.

3972605087763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18129 (or 18123 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 3972605087763 in words is "three trillion, nine hundred seventy-two billion, six hundred five million, eighty-seven thousand, seven hundred sixty-three".