3688914866688 has 640 divisors, whose sum is σ = 11458693382400. Its totient is φ = 1185495367680.

The previous prime is 3688914866683. The next prime is 3688914866719. The reversal of 3688914866688 is 8866684198863.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3688914866683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3620131843 + ... + 3620132861.

It is an arithmetic number, because the mean of its divisors is an integer number (17904208410).

Almost surely, 2^{3688914866688} 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 3688914866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729346691200).

3688914866688 is an abundant number, since it is smaller than the sum of its proper divisors (7769778515712).

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

3688914866688 is an frugal number, since it uses more digits than its factorization.

3688914866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1138 counting only the distinct ones).

The product of its digits is 4586471424, while the sum is 81.

The spelling of 3688914866688 in words is "three trillion, six hundred eighty-eight billion, nine hundred fourteen million, eight hundred sixty-six thousand, six hundred eighty-eight".