9838644816 has 320 divisors, whose sum is σ = 34493792256. Its totient is φ = 2333491200.

The previous prime is 9838644797. The next prime is 9838644817. The reversal of 9838644816 is 6184468389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9838644817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4659601 + ... + 4661711.

Almost surely, 2^9838644816 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 9838644816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17246896128).

9838644816 is an abundant number, since it is smaller than the sum of its proper divisors (24655147440).

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

9838644816 is a wasteful number, since it uses less digits than its factorization.

9838644816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2244 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The square root of 9838644816 is about 99189.9431192497. The cubic root of 9838644816 is about 2142.7841608769.

The spelling of 9838644816 in words is "nine billion, eight hundred thirty-eight million, six hundred forty-four thousand, eight hundred sixteen".