386635968 has 168 divisors, whose sum is σ = 1166530560. Its totient is φ = 122273280.

The previous prime is 386635961. The next prime is 386635969. The reversal of 386635968 is 869536683.

It is not an unprimeable number, because it can be changed into a prime (386635961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053321 + ... + 1053687.

Almost surely, 2^386635968 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 386635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583265280).

386635968 is an abundant number, since it is smaller than the sum of its proper divisors (779894592).

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

386635968 is a wasteful number, since it uses less digits than its factorization.

386635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 386635968 is about 19663.0610028042. The cubic root of 386635968 is about 728.5075959235.

The spelling of 386635968 in words is "three hundred eighty-six million, six hundred thirty-five thousand, nine hundred sixty-eight".