8337881344 has 81 divisors (see below), whose sum is σ = 18063064593. Its totient is φ = 3839486976.

The previous prime is 8337881333. The next prime is 8337881347. The reversal of 8337881344 is 4431887338.

It is a happy number.

The square root of 8337881344 is 91312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1233414400 + 7104466944 = 35120^2 + 84288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8337881347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18992677 + ... + 18993115.

Almost surely, 2^8337881344 is an apocalyptic number.

8337881344 is the 91312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8337881344

8337881344 is an abundant number, since it is smaller than the sum of its proper divisors (9725183249).

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

8337881344 is an frugal number, since it uses more digits than its factorization.

8337881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 454 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The cubic root of 8337881344 is about 2027.7694237086.

Multiplying 8337881344 by its sum of digits (49), we get a square (408556185856 = 639184²).

The spelling of 8337881344 in words is "eight billion, three hundred thirty-seven million, eight hundred eighty-one thousand, three hundred forty-four".