8348334480 has 240 divisors, whose sum is σ = 28542458880. Its totient is φ = 2186376192.

The previous prime is 8348334451. The next prime is 8348334497. The reversal of 8348334480 is 844338438.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 18030729 + ... + 18031191.

It is an arithmetic number, because the mean of its divisors is an integer number (118926912).

Almost surely, 2^8348334480 is an apocalyptic number.

8348334480 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 8348334480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271229440).

8348334480 is an abundant number, since it is smaller than the sum of its proper divisors (20194124400).

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

8348334480 is a wasteful number, since it uses less digits than its factorization.

8348334480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 8348334480 is about 91369.2206380245. The cubic root of 8348334480 is about 2028.6164693337.

The spelling of 8348334480 in words is "eight billion, three hundred forty-eight million, three hundred thirty-four thousand, four hundred eighty".