386616168 has 48 divisors (see below), whose sum is σ = 1083197700. Its totient is φ = 124427520.

The previous prime is 386616149. The next prime is 386616169. The reversal of 386616168 is 861616683.

386616168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 384238404 + 2377764 = 19602^2 + 1542^2 .

It is a super-2 number, since 2×386616168² = 298944122718008448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (386616169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90493 + ... + 94668.

Almost surely, 2^386616168 is an apocalyptic number.

It is an amenable number.

386616168 is an abundant number, since it is smaller than the sum of its proper divisors (696581532).

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

386616168 is a wasteful number, since it uses less digits than its factorization.

386616168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185202 (or 185195 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 386616168 is about 19662.5575142198. The cubic root of 386616168 is about 728.4951598528.

The spelling of 386616168 in words is "three hundred eighty-six million, six hundred sixteen thousand, one hundred sixty-eight".