9384038640 has 240 divisors, whose sum is σ = 33036456960. Its totient is φ = 2382589440.

The previous prime is 9384038623. The next prime is 9384038647. The reversal of 9384038640 is 468304839.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9384038647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3956655 + ... + 3959025.

It is an arithmetic number, because the mean of its divisors is an integer number (137651904).

Almost surely, 2^9384038640 is an apocalyptic number.

9384038640 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 9384038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518228480).

9384038640 is an abundant number, since it is smaller than the sum of its proper divisors (23652418320).

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

9384038640 is a wasteful number, since it uses less digits than its factorization.

9384038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9384038640 is about 96871.2477466869. The cubic root of 9384038640 is about 2109.2590886365.

The spelling of 9384038640 in words is "nine billion, three hundred eighty-four million, thirty-eight thousand, six hundred forty".