386426050920 has 768 divisors, whose sum is σ = 1605406003200. Its totient is φ = 80951270400.

The previous prime is 386426050889. The next prime is 386426050943. The reversal of 386426050920 is 29050624683.

386426050920 is a `hidden beast` number, since 3 + 8 + 64 + 2 + 60 + 509 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192922639 + ... + 192924641.

It is an arithmetic number, because the mean of its divisors is an integer number (2090372400).

Almost surely, 2^386426050920 is an apocalyptic number.

386426050920 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 386426050920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802703001600).

386426050920 is an abundant number, since it is smaller than the sum of its proper divisors (1218979952280).

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

386426050920 is a wasteful number, since it uses less digits than its factorization.

386426050920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 386426050920 in words is "three hundred eighty-six billion, four hundred twenty-six million, fifty thousand, nine hundred twenty".