3975834385793 has 16 divisors (see below), whose sum is σ = 4214537781840. Its totient is φ = 3737669222400.

The previous prime is 3975834385771. The next prime is 3975834385807.

It is a happy number.

3975834385793 is nontrivially palindromic in base 10.

3975834385793 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 8 ways, for example, as 85283273089 + 3890551112704 = 292033^2 + 1972448^2 .

It is a cyclic number.

It is not a de Polignac number, because 3975834385793 - 2¹² = 3975834381697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3975834385793.

It is not an unprimeable number, because it can be changed into a prime (3975834385753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100428263 + ... + 100467843.

It is an arithmetic number, because the mean of its divisors is an integer number (263408611365).

Almost surely, 2^{3975834385793} is an apocalyptic number.

It is an amenable number.

3975834385793 is a deficient number, since it is larger than the sum of its proper divisors (238703396047).

3975834385793 is a wasteful number, since it uses less digits than its factorization.

3975834385793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46228.

The product of its digits is 2057529600, while the sum is 74.

The spelling of 3975834385793 in words is "three trillion, nine hundred seventy-five billion, eight hundred thirty-four million, three hundred eighty-five thousand, seven hundred ninety-three".