9736384 has 56 divisors (see below), whose sum is σ = 22400768. Its totient is φ = 4112640.

The previous prime is 9736381. The next prime is 9736409. The reversal of 9736384 is 4836379.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 9² + 7⁸ + 3³ + 6⁷ + 3¹³ + 8⁷ + 4³ .

It is not an unprimeable number, because it can be changed into a prime (9736381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46039 + ... + 46249.

Almost surely, 2^9736384 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 9736384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11200384).

9736384 is an abundant number, since it is smaller than the sum of its proper divisors (12664384).

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

9736384 is a wasteful number, since it uses less digits than its factorization.

9736384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 9736384 is about 3120.3179325191. The cubic root of 9736384 is about 213.5334407121.

It can be divided in two parts, 97 and 36384, that added together give a square (36481 = 191²).

The spelling of 9736384 in words is "nine million, seven hundred thirty-six thousand, three hundred eighty-four".