3809638536768 has 140 divisors (see below), whose sum is σ = 11351477812620. Its totient is φ = 1263299493888.

The previous prime is 3809638536749. The next prime is 3809638536877. The reversal of 3809638536768 is 8676358369083.

3809638536768 is a `hidden beast` number, since 3 + 80 + 9 + 6 + 3 + 8 + 536 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 671468802624 + 3138169734144 = 819432^2 + 1771488^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3809638536696 and 3809638536705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 903333 + ... + 2904356.

Almost surely, 2^{3809638536768} is an apocalyptic number.

It is an amenable number.

3809638536768 is an abundant number, since it is smaller than the sum of its proper divisors (7541839275852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3809638536768 is a wasteful number, since it uses less digits than its factorization.

3809638536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807906 (or 3807887 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 3809638536768 in words is "three trillion, eight hundred nine billion, six hundred thirty-eight million, five hundred thirty-six thousand, seven hundred sixty-eight".