3686701656480 has 48 divisors (see below), whose sum is σ = 11613110219424. Its totient is φ = 983120441600.

The previous prime is 3686701656479. The next prime is 3686701656481. The reversal of 3686701656480 is 846561076863.

It is an interprime number because it is at equal distance from previous prime (3686701656479) and next prime (3686701656481).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3686701656480³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3686701656481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3840313746 + ... + 3840314705.

It is an arithmetic number, because the mean of its divisors is an integer number (241939796238).

Almost surely, 2^{3686701656480} is an apocalyptic number.

3686701656480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3686701656480 is an abundant number, since it is smaller than the sum of its proper divisors (7926408562944).

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

3686701656480 is a wasteful number, since it uses less digits than its factorization.

3686701656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680628469 (or 7680628461 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 3686701656480 in words is "three trillion, six hundred eighty-six billion, seven hundred one million, six hundred fifty-six thousand, four hundred eighty".