3968440448693 has 16 divisors (see below), whose sum is σ = 4622454210816. Its totient is φ = 3336242357760.

The previous prime is 3968440448683. The next prime is 3968440448711.

3968440448693 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3968440448693 - 2⁴ = 3968440448677 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968440448683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630521 + ... + 2886942.

It is an arithmetic number, because the mean of its divisors is an integer number (288903388176).

Almost surely, 2^{3968440448693} is an apocalyptic number.

It is an amenable number.

3968440448693 is a deficient number, since it is larger than the sum of its proper divisors (654013762123).

3968440448693 is a wasteful number, since it uses less digits than its factorization.

3968440448693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520564.

The product of its (nonzero) digits is 429981696, while the sum is 68.

The spelling of 3968440448693 in words is "three trillion, nine hundred sixty-eight billion, four hundred forty million, four hundred forty-eight thousand, six hundred ninety-three".