386786704320 has 168 divisors, whose sum is σ = 1330687403136. Its totient is φ = 103119685632.

The previous prime is 386786704319. The next prime is 386786704333. The reversal of 386786704320 is 23407687683.

386786704320 is a `hidden beast` number, since 3 + 8 + 67 + 86 + 70 + 432 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15346449 + ... + 15371631.

It is an arithmetic number, because the mean of its divisors is an integer number (7920758352).

Almost surely, 2^386786704320 is an apocalyptic number.

386786704320 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 386786704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665343701568).

386786704320 is an abundant number, since it is smaller than the sum of its proper divisors (943900698816).

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

386786704320 is a wasteful number, since it uses less digits than its factorization.

386786704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30539 (or 30526 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 386786704320 in words is "three hundred eighty-six billion, seven hundred eighty-six million, seven hundred four thousand, three hundred twenty".