9844338240 has 672 divisors, whose sum is σ = 40619988864. Its totient is φ = 2242805760.

The previous prime is 9844338199. The next prime is 9844338253. The reversal of 9844338240 is 428334489.

9844338240 is a `hidden beast` number, since 98 + 443 + 3 + 82 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14540782 + ... + 14541458.

It is an arithmetic number, because the mean of its divisors is an integer number (60446412).

Almost surely, 2^9844338240 is an apocalyptic number.

9844338240 is a gapful number since it is divisible by the number (90) 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 9844338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20309994432).

9844338240 is an abundant number, since it is smaller than the sum of its proper divisors (30775650624).

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

9844338240 is a wasteful number, since it uses less digits than its factorization.

9844338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9844338240 is about 99218.6385715910. The cubic root of 9844338240 is about 2143.1974097372.

The spelling of 9844338240 in words is "nine billion, eight hundred forty-four million, three hundred thirty-eight thousand, two hundred forty".