386765856 has 72 divisors (see below), whose sum is σ = 1107369900. Its totient is φ = 128042496.

The previous prime is 386765851. The next prime is 386765903. The reversal of 386765856 is 658567683.

It can be written as a sum of positive squares in 2 ways, for example, as 365421456 + 21344400 = 19116^2 + 4620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (386765851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38406 + ... + 47418.

Almost surely, 2^386765856 is an apocalyptic number.

386765856 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 386765856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553684950).

386765856 is an abundant number, since it is smaller than the sum of its proper divisors (720604044).

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

386765856 is a wasteful number, since it uses less digits than its factorization.

386765856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9167 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 386765856 is about 19666.3635682858. The cubic root of 386765856 is about 728.5891660206.

The spelling of 386765856 in words is "three hundred eighty-six million, seven hundred sixty-five thousand, eight hundred fifty-six".