386676576 has 288 divisors, whose sum is σ = 1329138720. Its totient is φ = 105062400.

The previous prime is 386676571. The next prime is 386676593. The reversal of 386676576 is 675676683.

386676576 is a `hidden beast` number, since 3 + 8 + 6 + 67 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386676571) 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 47 ways as a sum of consecutive naturals, for example, 1688430 + ... + 1688658.

It is an arithmetic number, because the mean of its divisors is an integer number (4615065).

Almost surely, 2^386676576 is an apocalyptic number.

386676576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386676576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664569360).

386676576 is an abundant number, since it is smaller than the sum of its proper divisors (942462144).

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

386676576 is a wasteful number, since it uses less digits than its factorization.

386676576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 386676576 is about 19664.0935717871. The cubic root of 386676576 is about 728.5330998456.

The spelling of 386676576 in words is "three hundred eighty-six million, six hundred seventy-six thousand, five hundred seventy-six".