9338261688 has 256 divisors, whose sum is σ = 30753792000. Its totient is φ = 2569190400.

The previous prime is 9338261651. The next prime is 9338261707. The reversal of 9338261688 is 8861628339.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13170678 + ... + 13171386.

It is an arithmetic number, because the mean of its divisors is an integer number (120132000).

Almost surely, 2^9338261688 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 9338261688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376896000).

9338261688 is an abundant number, since it is smaller than the sum of its proper divisors (21415530312).

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

9338261688 is a wasteful number, since it uses less digits than its factorization.

9338261688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 9338261688 is about 96634.6816003447. The cubic root of 9338261688 is about 2105.8237204422.

The spelling of 9338261688 in words is "nine billion, three hundred thirty-eight million, two hundred sixty-one thousand, six hundred eighty-eight".