386271604224 has 320 divisors, whose sum is σ = 1320716897280. Its totient is φ = 110165852160.

The previous prime is 386271604163. The next prime is 386271604249. The reversal of 386271604224 is 422406172683.

It is a happy number.

386271604224 is a `hidden beast` number, since 3 + 8 + 62 + 7 + 160 + 422 + 4 = 666.

386271604224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 386271604224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2510377 + ... + 2659799.

It is an arithmetic number, because the mean of its divisors is an integer number (4127240304).

Almost surely, 2^386271604224 is an apocalyptic number.

386271604224 is a gapful number since it is divisible by the number (34) 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 386271604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660358448640).

386271604224 is an abundant number, since it is smaller than the sum of its proper divisors (934445293056).

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

386271604224 is a wasteful number, since it uses less digits than its factorization.

386271604224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149478 (or 149456 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 386271604224 in words is "three hundred eighty-six billion, two hundred seventy-one million, six hundred four thousand, two hundred twenty-four".