386439912960 has 320 divisors, whose sum is σ = 1307753441280. Its totient is φ = 97180876800.

The previous prime is 386439912959. The next prime is 386439912961. The reversal of 386439912960 is 69219934683.

It is an interprime number because it is at equal distance from previous prime (386439912959) and next prime (386439912961).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 386439912894 and 386439912903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386439912961) 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 31 ways as a sum of consecutive naturals, for example, 9556785 + ... + 9597135.

It is an arithmetic number, because the mean of its divisors is an integer number (4086729504).

Almost surely, 2^386439912960 is an apocalyptic number.

386439912960 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 386439912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653876720640).

386439912960 is an abundant number, since it is smaller than the sum of its proper divisors (921313528320).

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

386439912960 is a wasteful number, since it uses less digits than its factorization.

386439912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40449 (or 40433 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 386439912960 in words is "three hundred eighty-six billion, four hundred thirty-nine million, nine hundred twelve thousand, nine hundred sixty".