8387317344 has 192 divisors, whose sum is σ = 26060009472. Its totient is φ = 2311372800.

The previous prime is 8387317327. The next prime is 8387317439. The reversal of 8387317344 is 4437137838.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8387317293 and 8387317302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9519784 + ... + 9520664.

It is an arithmetic number, because the mean of its divisors is an integer number (135729216).

Almost surely, 2^8387317344 is an apocalyptic number.

8387317344 is a gapful number since it is divisible by the number (84) 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 8387317344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13030004736).

8387317344 is an abundant number, since it is smaller than the sum of its proper divisors (17672692128).

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

8387317344 is a wasteful number, since it uses less digits than its factorization.

8387317344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1381 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 8387317344 is about 91582.2982022181. The cubic root of 8387317344 is about 2031.7691343929.

The spelling of 8387317344 in words is "eight billion, three hundred eighty-seven million, three hundred seventeen thousand, three hundred forty-four".