973344384 has 128 divisors (see below), whose sum is σ = 3041884800. Its totient is φ = 305344512.

The previous prime is 973344349. The next prime is 973344391. The reversal of 973344384 is 483443379.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50469 + ... + 67035.

It is an arithmetic number, because the mean of its divisors is an integer number (23764725).

Almost surely, 2^973344384 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 973344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520942400).

973344384 is an abundant number, since it is smaller than the sum of its proper divisors (2068540416).

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

973344384 is a wasteful number, since it uses less digits than its factorization.

973344384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16589 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 973344384 is about 31198.4676546782. The cubic root of 973344384 is about 991.0346575041.

The spelling of 973344384 in words is "nine hundred seventy-three million, three hundred forty-four thousand, three hundred eighty-four".