386959945680 has 1440 divisors, whose sum is σ = 1721973786624. Its totient is φ = 79035264000.

The previous prime is 386959945661. The next prime is 386959945717. The reversal of 386959945680 is 86549959683.

386959945680 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 5 + 99 + 456 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 386959945599 and 386959945608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1169063115 + ... + 1169063445.

Almost surely, 2^386959945680 is an apocalyptic number.

386959945680 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 386959945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860986893312).

386959945680 is an abundant number, since it is smaller than the sum of its proper divisors (1335013840944).

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

386959945680 is a wasteful number, since it uses less digits than its factorization.

386959945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 386959945680 in words is "three hundred eighty-six billion, nine hundred fifty-nine million, nine hundred forty-five thousand, six hundred eighty".