386337576768 has 448 divisors, whose sum is σ = 1267283297280. Its totient is φ = 102120652800.

The previous prime is 386337576733. The next prime is 386337576811. The reversal of 386337576768 is 867675733683.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 297869496 + ... + 297870792.

It is an arithmetic number, because the mean of its divisors is an integer number (2828757360).

Almost surely, 2^386337576768 is an apocalyptic number.

386337576768 is a gapful number since it is divisible by the number (38) 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 386337576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633641648640).

386337576768 is an abundant number, since it is smaller than the sum of its proper divisors (880945720512).

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

386337576768 is a wasteful number, since it uses less digits than its factorization.

386337576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1916 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 69.

The spelling of 386337576768 in words is "three hundred eighty-six billion, three hundred thirty-seven million, five hundred seventy-six thousand, seven hundred sixty-eight".