3859384320 has 672 divisors, whose sum is σ = 15468485760. Its totient is φ = 915701760.

The previous prime is 3859384261. The next prime is 3859384343. The reversal of 3859384320 is 234839583.

3859384320 is a `hidden beast` number, since 38 + 593 + 8 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82114537 + ... + 82114583.

It is an arithmetic number, because the mean of its divisors is an integer number (23018580).

Almost surely, 2^3859384320 is an apocalyptic number.

3859384320 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 3859384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734242880).

3859384320 is an abundant number, since it is smaller than the sum of its proper divisors (11609101440).

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

3859384320 is an equidigital number, since it uses as much as digits as its factorization.

3859384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3859384320 is about 62123.9432103275. The cubic root of 3859384320 is about 1568.5776020028.

The spelling of 3859384320 in words is "three billion, eight hundred fifty-nine million, three hundred eighty-four thousand, three hundred twenty".