386856760680 has 768 divisors, whose sum is σ = 1506316331520. Its totient is φ = 85136375808.

The previous prime is 386856760601. The next prime is 386856760681. The reversal of 386856760680 is 86067658683.

386856760680 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 567 + 6 + 0 + 68 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (386856760681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 298269792 + ... + 298271088.

It is an arithmetic number, because the mean of its divisors is an integer number (1961349390).

Almost surely, 2^386856760680 is an apocalyptic number.

386856760680 is a gapful number since it is divisible by the number (30) 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 386856760680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753158165760).

386856760680 is an abundant number, since it is smaller than the sum of its proper divisors (1119459570840).

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

386856760680 is a wasteful number, since it uses less digits than its factorization.

386856760680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 386856760680 in words is "three hundred eighty-six billion, eight hundred fifty-six million, seven hundred sixty thousand, six hundred eighty".