386807658960 has 240 divisors, whose sum is σ = 1266743923200. Its totient is φ = 97626608640.

The previous prime is 386807658929. The next prime is 386807658967. The reversal of 386807658960 is 69856708683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 386807658891 and 386807658900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386807658967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161235841 + ... + 161238239.

It is an arithmetic number, because the mean of its divisors is an integer number (5278099680).

Almost surely, 2^386807658960 is an apocalyptic number.

386807658960 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 386807658960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633371961600).

386807658960 is an abundant number, since it is smaller than the sum of its proper divisors (879936264240).

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

386807658960 is a wasteful number, since it uses less digits than its factorization.

386807658960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 386807658960 in words is "three hundred eighty-six billion, eight hundred seven million, six hundred fifty-eight thousand, nine hundred sixty".