386856360 has 288 divisors, whose sum is σ = 1411693920. Its totient is φ = 91787520.

The previous prime is 386856319. The next prime is 386856367. The reversal of 386856360 is 63658683.

386856360 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 5 + 636 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (386856367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3615427 + ... + 3615533.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^386856360 is an apocalyptic number.

386856360 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 386856360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

386856360 is an abundant number, since it is smaller than the sum of its proper divisors (1024837560).

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

386856360 is a wasteful number, since it uses less digits than its factorization.

386856360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

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

The square root of 386856360 is about 19668.6644183076. The cubic root of 386856360 is about 728.6459920392.

The spelling of 386856360 in words is "three hundred eighty-six million, eight hundred fifty-six thousand, three hundred sixty".