386819632 has 120 divisors (see below), whose sum is σ = 874832400. Its totient is φ = 164634624.

The previous prime is 386819617. The next prime is 386819633. The reversal of 386819632 is 236918683.

It is not an unprimeable number, because it can be changed into a prime (386819633) 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 23 ways as a sum of consecutive naturals, for example, 4346244 + ... + 4346332.

It is an arithmetic number, because the mean of its divisors is an integer number (7290270).

Almost surely, 2^386819632 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 386819632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437416200).

386819632 is an abundant number, since it is smaller than the sum of its proper divisors (488012768).

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

386819632 is a wasteful number, since it uses less digits than its factorization.

386819632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 386819632 is about 19667.7307282767. The cubic root of 386819632 is about 728.6229321823.

The spelling of 386819632 in words is "three hundred eighty-six million, eight hundred nineteen thousand, six hundred thirty-two".