3686063338096 has 80 divisors (see below), whose sum is σ = 7707706675200. Its totient is φ = 1701957312000.

The previous prime is 3686063338093. The next prime is 3686063338099. The reversal of 3686063338096 is 6908333606863.

It is an interprime number because it is at equal distance from previous prime (3686063338093) and next prime (3686063338099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686063338093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14217595 + ... + 14474533.

It is an arithmetic number, because the mean of its divisors is an integer number (96346333440).

Almost surely, 2^{3686063338096} 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 3686063338096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853853337600).

3686063338096 is an abundant number, since it is smaller than the sum of its proper divisors (4021643337104).

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

3686063338096 is a wasteful number, since it uses less digits than its factorization.

3686063338096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258158 (or 258152 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 61.

The spelling of 3686063338096 in words is "three trillion, six hundred eighty-six billion, sixty-three million, three hundred thirty-eight thousand, ninety-six".