386856000 has 336 divisors, whose sum is σ = 1442313600. Its totient is φ = 102643200.

The previous prime is 386855999. The next prime is 386856011. The reversal of 386856000 is 658683.

386856000 is a `hidden beast` number, since 38 + 68 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1943901 + ... + 1944099.

It is an arithmetic number, because the mean of its divisors is an integer number (4292600).

Almost surely, 2^386856000 is an apocalyptic number.

386856000 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 386856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721156800).

386856000 is an abundant number, since it is smaller than the sum of its proper divisors (1055457600).

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

386856000 is an equidigital number, since it uses as much as digits as its factorization.

386856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 386856000 is about 19668.6552666927. The cubic root of 386856000 is about 728.6457660185.

The spelling of 386856000 in words is "three hundred eighty-six million, eight hundred fifty-six thousand".