386562384 has 120 divisors (see below), whose sum is σ = 1196758472. Its totient is φ = 115706880.

The previous prime is 386562383. The next prime is 386562401. The reversal of 386562384 is 483265683.

It is a happy number.

386562384 is a `hidden beast` number, since 3 + 8 + 6 + 562 + 3 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40602384 + 345960000 = 6372^2 + 18600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386562383) 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, 66474 + ... + 72054.

Almost surely, 2^386562384 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 386562384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598379236).

386562384 is an abundant number, since it is smaller than the sum of its proper divisors (810196088).

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

386562384 is a wasteful number, since it uses less digits than its factorization.

386562384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5636 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 386562384 is about 19661.1897910579. The cubic root of 386562384 is about 728.4613768194.

The spelling of 386562384 in words is "three hundred eighty-six million, five hundred sixty-two thousand, three hundred eighty-four".