8384142272 has 84 divisors (see below), whose sum is σ = 18539021088. Its totient is φ = 3758515200.

The previous prime is 8384142259. The next prime is 8384142287. The reversal of 8384142272 is 2722414838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557897 + ... + 572727.

It is an arithmetic number, because the mean of its divisors is an integer number (220702632).

Almost surely, 2^8384142272 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 8384142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9269510544).

8384142272 is an abundant number, since it is smaller than the sum of its proper divisors (10154878816).

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

8384142272 is a wasteful number, since it uses less digits than its factorization.

8384142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 14917 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 8384142272 is about 91564.9620324281. The cubic root of 8384142272 is about 2031.5127223515.

The spelling of 8384142272 in words is "eight billion, three hundred eighty-four million, one hundred forty-two thousand, two hundred seventy-two".