3688886784 has 160 divisors (see below), whose sum is σ = 11286063360. Its totient is φ = 1058918400.

The previous prime is 3688886783. The next prime is 3688886827. The reversal of 3688886784 is 4876888863.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (3688886783) 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, 315279 + ... + 326769.

It is an arithmetic number, because the mean of its divisors is an integer number (70537896).

Almost surely, 2^3688886784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688886784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643031680).

3688886784 is an abundant number, since it is smaller than the sum of its proper divisors (7597176576).

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

3688886784 is a wasteful number, since it uses less digits than its factorization.

3688886784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11542 (or 11526 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 66.

The square root of 3688886784 is about 60736.2065328417. The cubic root of 3688886784 is about 1545.1302989154.

The spelling of 3688886784 in words is "three billion, six hundred eighty-eight million, eight hundred eighty-six thousand, seven hundred eighty-four".