3688580688 has 80 divisors (see below), whose sum is σ = 10305173760. Its totient is φ = 1130153472.

The previous prime is 3688580683. The next prime is 3688580699. The reversal of 3688580688 is 8860858863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688580683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 136770 + ... + 161502.

It is an arithmetic number, because the mean of its divisors is an integer number (128814672).

Almost surely, 2^3688580688 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 3688580688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152586880).

3688580688 is an abundant number, since it is smaller than the sum of its proper divisors (6616593072).

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

3688580688 is a wasteful number, since it uses less digits than its factorization.

3688580688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24996 (or 24990 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The square root of 3688580688 is about 60733.6865997776. The cubic root of 3688580688 is about 1545.0875605218.

The spelling of 3688580688 in words is "three billion, six hundred eighty-eight million, five hundred eighty thousand, six hundred eighty-eight".