386631168 has 240 divisors, whose sum is σ = 1309898304. Its totient is φ = 100208640.

The previous prime is 386631151. The next prime is 386631191. The reversal of 386631168 is 861136683.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827671 + ... + 828137.

Almost surely, 2^386631168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654949152).

386631168 is an abundant number, since it is smaller than the sum of its proper divisors (923267136).

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

386631168 is a wasteful number, since it uses less digits than its factorization.

386631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 386631168 is about 19662.9389461494. The cubic root of 386631168 is about 728.5045811574.

The spelling of 386631168 in words is "three hundred eighty-six million, six hundred thirty-one thousand, one hundred sixty-eight".