3973951919763 has 144 divisors (see below), whose sum is σ = 6915006072000. Its totient is φ = 2191719720960.

The previous prime is 3973951919759. The next prime is 3973951919767. The reversal of 3973951919763 is 3679191593793.

3973951919763 is a `hidden beast` number, since 3 + 9 + 7 + 39 + 519 + 1 + 9 + 76 + 3 = 666.

3973951919763 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3973951919759) and next prime (3973951919767).

It is not a de Polignac number, because 3973951919763 - 2² = 3973951919759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3973951919691 and 3973951919700.

It is not an unprimeable number, because it can be changed into a prime (3973951919767) 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 143 ways as a sum of consecutive naturals, for example, 390785743 + ... + 390795911.

It is an arithmetic number, because the mean of its divisors is an integer number (48020875500).

Almost surely, 2^{3973951919763} is an apocalyptic number.

3973951919763 is a deficient number, since it is larger than the sum of its proper divisors (2941054152237).

3973951919763 is a wasteful number, since it uses less digits than its factorization.

3973951919763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10512 counting only the distinct ones).

The product of its digits is 260406090, while the sum is 72.

The spelling of 3973951919763 in words is "three trillion, nine hundred seventy-three billion, nine hundred fifty-one million, nine hundred nineteen thousand, seven hundred sixty-three".