9838345660 has 96 divisors (see below), whose sum is σ = 24635261952. Its totient is φ = 3253029120.

The previous prime is 9838345637. The next prime is 9838345661. The reversal of 9838345660 is 665438389.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 9838345598 and 9838345607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9838345661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165949 + ... + 217291.

It is an arithmetic number, because the mean of its divisors is an integer number (256617312).

Almost surely, 2^9838345660 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 9838345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317630976).

9838345660 is an abundant number, since it is smaller than the sum of its proper divisors (14796916292).

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

9838345660 is a wasteful number, since it uses less digits than its factorization.

9838345660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51443 (or 51441 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The square root of 9838345660 is about 99188.4351121642. The cubic root of 9838345660 is about 2142.7624426678.

The spelling of 9838345660 in words is "nine billion, eight hundred thirty-eight million, three hundred forty-five thousand, six hundred sixty".