9838382291700 has 1728 divisors, whose sum is σ = 34840223416320. Its totient is φ = 2131992576000.

The previous prime is 9838382291623. The next prime is 9838382291701. The reversal of 9838382291700 is 71922838389.

It is a super-2 number, since 2×9838382291700² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9838382291701) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 77467577037 + ... + 77467577163.

Almost surely, 2^{9838382291700} 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 9838382291700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17420111708160).

9838382291700 is an abundant number, since it is smaller than the sum of its proper divisors (25001841124620).

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

9838382291700 is a wasteful number, since it uses less digits than its factorization.

9838382291700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 9838382291700 in words is "nine trillion, eight hundred thirty-eight billion, three hundred eighty-two million, two hundred ninety-one thousand, seven hundred".