386869287352320 has 768 divisors, whose sum is σ = 1421459775590400. Its totient is φ = 99703677911040.

The previous prime is 386869287352313. The next prime is 386869287352349. The reversal of 386869287352320 is 23253782968683.

386869287352320 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 6 + 9 + 2 + 8 + 73 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6488126347 + ... + 6488185973.

It is an arithmetic number, because the mean of its divisors is an integer number (1850859082800).

Almost surely, 2^{386869287352320} is an apocalyptic number.

386869287352320 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 386869287352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710729887795200).

386869287352320 is an abundant number, since it is smaller than the sum of its proper divisors (1034590488238080).

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

386869287352320 is a wasteful number, since it uses less digits than its factorization.

386869287352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60451 (or 60425 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 386869287352320 in words is "three hundred eighty-six trillion, eight hundred sixty-nine billion, two hundred eighty-seven million, three hundred fifty-two thousand, three hundred twenty".