386529817968 has 240 divisors, whose sum is σ = 1291229736960. Its totient is φ = 110385265536.

The previous prime is 386529817963. The next prime is 386529818029. The reversal of 386529817968 is 869718925683.

386529817968 is a `hidden beast` number, since 3 + 8 + 6 + 529 + 8 + 1 + 7 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 386529817896 and 386529817905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386529817963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83971155 + ... + 83975757.

It is an arithmetic number, because the mean of its divisors is an integer number (5380123904).

Almost surely, 2^386529817968 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 386529817968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645614868480).

386529817968 is an abundant number, since it is smaller than the sum of its proper divisors (904699918992).

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

386529817968 is a wasteful number, since it uses less digits than its factorization.

386529817968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8601 (or 8582 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 386529817968 in words is "three hundred eighty-six billion, five hundred twenty-nine million, eight hundred seventeen thousand, nine hundred sixty-eight".