8395385856 has 352 divisors, whose sum is σ = 27236563200. Its totient is φ = 2263941120.

The previous prime is 8395385851. The next prime is 8395385861. The reversal of 8395385856 is 6585835938.

It is an interprime number because it is at equal distance from previous prime (8395385851) and next prime (8395385861).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×8395385856² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8395385856.

It is not an unprimeable number, because it can be changed into a prime (8395385851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12739255 + ... + 12739913.

It is an arithmetic number, because the mean of its divisors is an integer number (77376600).

Almost surely, 2^8395385856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8395385856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618281600).

8395385856 is an abundant number, since it is smaller than the sum of its proper divisors (18841177344).

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

8395385856 is a wasteful number, since it uses less digits than its factorization.

8395385856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 717 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 60.

The square root of 8395385856 is about 91626.3382221509. The cubic root of 8395385856 is about 2032.4204391757.

The spelling of 8395385856 in words is "eight billion, three hundred ninety-five million, three hundred eighty-five thousand, eight hundred fifty-six".