9750384 has 120 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 2617344.

The previous prime is 9750383. The next prime is 9750397. The reversal of 9750384 is 4830579.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9750383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16852 + ... + 17420.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 2^9750384 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 9750384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

9750384 is an abundant number, since it is smaller than the sum of its proper divisors (23327856).

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

9750384 is a wasteful number, since it uses less digits than its factorization.

9750384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9750384 is about 3122.5604878048. The cubic root of 9750384 is about 213.6357386651.

The spelling of 9750384 in words is "nine million, seven hundred fifty thousand, three hundred eighty-four".