3686857408840 has 128 divisors (see below), whose sum is σ = 8462579328000. Its totient is φ = 1445273964288.

The previous prime is 3686857408831. The next prime is 3686857408847. The reversal of 3686857408840 is 488047586863.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is not an unprimeable number, because it can be changed into a prime (3686857408847) 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 31 ways as a sum of consecutive naturals, for example, 425582349 + ... + 425591011.

It is an arithmetic number, because the mean of its divisors is an integer number (66113901000).

Almost surely, 2^{3686857408840} 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 3686857408840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231289664000).

3686857408840 is an abundant number, since it is smaller than the sum of its proper divisors (4775721919160).

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

3686857408840 is a wasteful number, since it uses less digits than its factorization.

3686857408840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9539 (or 9535 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 67.

The spelling of 3686857408840 in words is "three trillion, six hundred eighty-six billion, eight hundred fifty-seven million, four hundred eight thousand, eight hundred forty".