3839608640 has 84 divisors (see below), whose sum is σ = 10635857316. Its totient is φ = 1316431872.

The previous prime is 3839608637. The next prime is 3839608649. The reversal of 3839608640 is 468069383.

3839608640 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 2 ways, for example, as 2718162496 + 1121446144 = 52136^2 + 33488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3839608649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106757 + ... + 138116.

It is an arithmetic number, because the mean of its divisors is an integer number (126617349).

Almost surely, 2^3839608640 is an apocalyptic number.

It is an amenable number.

3839608640 is an abundant number, since it is smaller than the sum of its proper divisors (6796248676).

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

3839608640 is a wasteful number, since it uses less digits than its factorization.

3839608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244904 (or 244887 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 3839608640 is about 61964.5756864356. The cubic root of 3839608640 is about 1565.8938559588.

The spelling of 3839608640 in words is "three billion, eight hundred thirty-nine million, six hundred eight thousand, six hundred forty".