8349430320 has 640 divisors, whose sum is σ = 37977569280. Its totient is φ = 1632337920.

The previous prime is 8349430301. The next prime is 8349430333. The reversal of 8349430320 is 230349438.

It is a happy number.

8349430320 is a `hidden beast` number, since 8 + 349 + 4 + 303 + 2 + 0 = 666.

It is a super-3 number, since 3×8349430320³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2825964 + ... + 2828916.

It is an arithmetic number, because the mean of its divisors is an integer number (59339952).

Almost surely, 2^8349430320 is an apocalyptic number.

8349430320 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 8349430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18988784640).

8349430320 is an abundant number, since it is smaller than the sum of its proper divisors (29628138960).

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

8349430320 is a wasteful number, since it uses less digits than its factorization.

8349430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 8349430320 is about 91375.2172090442. The cubic root of 8349430320 is about 2028.7052272297.

Adding to 8349430320 its reverse (230349438), we get a palindrome (8579779758).

The spelling of 8349430320 in words is "eight billion, three hundred forty-nine million, four hundred thirty thousand, three hundred twenty".