8349736320 has 384 divisors, whose sum is σ = 30984482880. Its totient is φ = 2064384000.

The previous prime is 8349736271. The next prime is 8349736379. The reversal of 8349736320 is 236379438.

8349736320 is a `hidden beast` number, since 8 + 3 + 4 + 9 + 7 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8349736320² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 6951720 + ... + 6952920.

Almost surely, 2^8349736320 is an apocalyptic number.

8349736320 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 8349736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15492241440).

8349736320 is an abundant number, since it is smaller than the sum of its proper divisors (22634746560).

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

8349736320 is a wasteful number, since it uses less digits than its factorization.

8349736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 8349736320 is about 91376.8916083273. The cubic root of 8349736320 is about 2028.7300104062.

The spelling of 8349736320 in words is "eight billion, three hundred forty-nine million, seven hundred thirty-six thousand, three hundred twenty".