9384099840 has 432 divisors, whose sum is σ = 34187641488. Its totient is φ = 2378170368.

The previous prime is 9384099839. The next prime is 9384099899. The reversal of 9384099840 is 489904839.

It is a super-2 number, since 2×9384099840² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218234859 + ... + 218234901.

It is an arithmetic number, because the mean of its divisors is an integer number (79138059).

Almost surely, 2^9384099840 is an apocalyptic number.

9384099840 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 9384099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093820744).

9384099840 is an abundant number, since it is smaller than the sum of its proper divisors (24803541648).

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

9384099840 is an equidigital number, since it uses as much as digits as its factorization.

9384099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9384099840 is about 96871.5636293747. The cubic root of 9384099840 is about 2109.2636739535.

The spelling of 9384099840 in words is "nine billion, three hundred eighty-four million, ninety-nine thousand, eight hundred forty".