8344945440 has 288 divisors, whose sum is σ = 30820608000. Its totient is φ = 2043906048.

The previous prime is 8344945439. The next prime is 8344945501. The reversal of 8344945440 is 445494438.

8344945440 is a `hidden beast` number, since 83 + 44 + 94 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8344945440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4173561 + ... + 4175559.

It is an arithmetic number, because the mean of its divisors is an integer number (107016000).

Almost surely, 2^8344945440 is an apocalyptic number.

8344945440 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 8344945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304000).

8344945440 is an abundant number, since it is smaller than the sum of its proper divisors (22475662560).

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

8344945440 is a wasteful number, since it uses less digits than its factorization.

8344945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 8344945440 is about 91350.6729039256. The cubic root of 8344945440 is about 2028.3419238378.

The spelling of 8344945440 in words is "eight billion, three hundred forty-four million, nine hundred forty-five thousand, four hundred forty".