386681688 has 80 divisors (see below), whose sum is σ = 1086459000. Its totient is φ = 128490624.

The previous prime is 386681683. The next prime is 386681699. The reversal of 386681688 is 886186683.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386681683) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 264303 + ... + 265761.

Almost surely, 2^386681688 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 386681688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543229500).

386681688 is an abundant number, since it is smaller than the sum of its proper divisors (699777312).

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

386681688 is a wasteful number, since it uses less digits than its factorization.

386681688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1873 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 386681688 is about 19664.2235544656. The cubic root of 386681688 is about 728.5363103191.

The spelling of 386681688 in words is "three hundred eighty-six million, six hundred eighty-one thousand, six hundred eighty-eight".