386276815680 has 1512 divisors, whose sum is σ = 1610618198112. Its totient is φ = 78147514368.

The previous prime is 386276815679. The next prime is 386276815721. The reversal of 386276815680 is 86518672683.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8983181739 + ... + 8983181781.

It is an arithmetic number, because the mean of its divisors is an integer number (1065223676).

Almost surely, 2^386276815680 is an apocalyptic number.

386276815680 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 386276815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805309099056).

386276815680 is an abundant number, since it is smaller than the sum of its proper divisors (1224341382432).

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

386276815680 is a wasteful number, since it uses less digits than its factorization.

386276815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 386276815680 in words is "three hundred eighty-six billion, two hundred seventy-six million, eight hundred fifteen thousand, six hundred eighty".