8344144080 has 120 divisors (see below), whose sum is σ = 28040917320. Its totient is φ = 2223636480.

The previous prime is 8344144073. The next prime is 8344144099. The reversal of 8344144080 is 804414438.

It can be written as a sum of positive squares in 4 ways, for example, as 63872064 + 8280272016 = 7992^2 + 90996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495536 + ... + 1501104.

It is an arithmetic number, because the mean of its divisors is an integer number (233674311).

Almost surely, 2^8344144080 is an apocalyptic number.

8344144080 is a gapful number since it is divisible by the number (80) 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 8344144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020458660).

8344144080 is an abundant number, since it is smaller than the sum of its proper divisors (19696773240).

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

8344144080 is a wasteful number, since it uses less digits than its factorization.

8344144080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8344144080 is about 91346.2866240331. The cubic root of 8344144080 is about 2028.2769949485.

The spelling of 8344144080 in words is "eight billion, three hundred forty-four million, one hundred forty-four thousand, eighty".