8344820736 has 396 divisors, whose sum is σ = 29705539968. Its totient is φ = 2241921024.

The previous prime is 8344820713. The next prime is 8344820741. The reversal of 8344820736 is 6370284438.

It is a junction number, because it is equal to n+sod(n) for n = 8344820691 and 8344820700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7676385 + ... + 7677471.

Almost surely, 2^8344820736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8344820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852769984).

8344820736 is an abundant number, since it is smaller than the sum of its proper divisors (21360719232).

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

8344820736 is a wasteful number, since it uses less digits than its factorization.

8344820736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 8344820736 is about 91349.9903448271. The cubic root of 8344820736 is about 2028.3318201723.

The spelling of 8344820736 in words is "eight billion, three hundred forty-four million, eight hundred twenty thousand, seven hundred thirty-six".