3686015077668 has 576 divisors, whose sum is σ = 12460240945152. Its totient is φ = 890392124160.

The previous prime is 3686015077651. The next prime is 3686015077669. The reversal of 3686015077668 is 8667705106863.

3686015077668 is a `hidden beast` number, since 3 + 6 + 8 + 60 + 1 + 507 + 7 + 6 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3686015077669) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 622319355 + ... + 622325277.

It is an arithmetic number, because the mean of its divisors is an integer number (21632362752).

Almost surely, 2^{3686015077668} 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 3686015077668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230120472576).

3686015077668 is an abundant number, since it is smaller than the sum of its proper divisors (8774225867484).

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

3686015077668 is a wasteful number, since it uses less digits than its factorization.

3686015077668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3686015077668 in words is "three trillion, six hundred eighty-six billion, fifteen million, seventy-seven thousand, six hundred sixty-eight".