386726376960 has 2160 divisors, whose sum is σ = 1814754942000. Its totient is φ = 75618385920.

The previous prime is 386726376947. The next prime is 386726376977. The reversal of 386726376960 is 69673627683.

It is a happy number.

386726376960 is a `hidden beast` number, since 386 + 72 + 63 + 76 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2595478966 + ... + 2595479114.

It is an arithmetic number, because the mean of its divisors is an integer number (840164325).

Almost surely, 2^386726376960 is an apocalyptic number.

386726376960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386726376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907377471000).

386726376960 is an abundant number, since it is smaller than the sum of its proper divisors (1428028565040).

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

386726376960 is a wasteful number, since it uses less digits than its factorization.

386726376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 386726376960 in words is "three hundred eighty-six billion, seven hundred twenty-six million, three hundred seventy-six thousand, nine hundred sixty".