3688562688 has 136 divisors (see below), whose sum is σ = 10009630128. Its totient is φ = 1207959552.

The previous prime is 3688562681. The next prime is 3688562699. The reversal of 3688562688 is 8862658863.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (3688562681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14352256 + ... + 14352512.

Almost surely, 2^3688562688 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 3688562688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004815064).

3688562688 is an abundant number, since it is smaller than the sum of its proper divisors (6321067440).

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

3688562688 is an frugal number, since it uses more digits than its factorization.

3688562688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 335 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 60.

The square root of 3688562688 is about 60733.5384116552. The cubic root of 3688562688 is about 1545.0850472135.

The spelling of 3688562688 in words is "three billion, six hundred eighty-eight million, five hundred sixty-two thousand, six hundred eighty-eight".