38964309269759 has 48 divisors (see below), whose sum is σ = 44393172595200. Its totient is φ = 34038663829632.

The previous prime is 38964309269749. The next prime is 38964309269773. The reversal of 38964309269759 is 95796290346983.

38964309269759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-38964309269759 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 (38964309269749) 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 47 ways as a sum of consecutive naturals, for example, 239907422 + ... + 240069780.

It is an arithmetic number, because the mean of its divisors is an integer number (924857762400).

Almost surely, 2^{38964309269759} is an apocalyptic number.

38964309269759 is a deficient number, since it is larger than the sum of its proper divisors (5428863325441).

38964309269759 is a wasteful number, since it uses less digits than its factorization.

38964309269759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163112 (or 163083 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 80.

The spelling of 38964309269759 in words is "thirty-eight trillion, nine hundred sixty-four billion, three hundred nine million, two hundred sixty-nine thousand, seven hundred fifty-nine".