9438088920 has 384 divisors, whose sum is σ = 32001868800. Its totient is φ = 2224115712.

The previous prime is 9438088903. The next prime is 9438088921. The reversal of 9438088920 is 298808349.

It is a happy number.

9438088920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9438088920³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9438088921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68891092 + ... + 68891228.

It is an arithmetic number, because the mean of its divisors is an integer number (83338200).

Almost surely, 2^9438088920 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 9438088920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000934400).

9438088920 is an abundant number, since it is smaller than the sum of its proper divisors (22563779880).

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

9438088920 is a wasteful number, since it uses less digits than its factorization.

9438088920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 9438088920 is about 97149.8271743187. The cubic root of 9438088920 is about 2113.3009822547.

The spelling of 9438088920 in words is "nine billion, four hundred thirty-eight million, eighty-eight thousand, nine hundred twenty".