3686765471424 has 392 divisors, whose sum is σ = 12557860267008. Its totient is φ = 1051512399360.

The previous prime is 3686765471407. The next prime is 3686765471437. The reversal of 3686765471424 is 4241745676863.

3686765471424 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 76 + 547 + 14 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 191699889 + ... + 191719119.

It is an arithmetic number, because the mean of its divisors is an integer number (32035357824).

Almost surely, 2^{3686765471424} 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 3686765471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278930133504).

3686765471424 is an abundant number, since it is smaller than the sum of its proper divisors (8871094795584).

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

3686765471424 is an equidigital number, since it uses as much as digits as its factorization.

3686765471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19855 (or 19830 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 3686765471424 in words is "three trillion, six hundred eighty-six billion, seven hundred sixty-five million, four hundred seventy-one thousand, four hundred twenty-four".