3682464116688 has 360 divisors, whose sum is σ = 12482144982216. Its totient is φ = 1009638604800.

The previous prime is 3682464116633. The next prime is 3682464116693. The reversal of 3682464116688 is 8866114642863.

It is a happy number.

3682464116688 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 464 + 1 + 166 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 658162257984 + 3024301858704 = 811272^2 + 1739052^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17542720 + ... + 17751392.

Almost surely, 2^{3682464116688} 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 3682464116688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241072491108).

3682464116688 is an abundant number, since it is smaller than the sum of its proper divisors (8799680865528).

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

3682464116688 is a wasteful number, since it uses less digits than its factorization.

3682464116688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208803 (or 208787 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 3682464116688 in words is "three trillion, six hundred eighty-two billion, four hundred sixty-four million, one hundred sixteen thousand, six hundred eighty-eight".