9743376384 has 672 divisors, whose sum is σ = 35859110400. Its totient is φ = 2601123840.

The previous prime is 9743376337. The next prime is 9743376421. The reversal of 9743376384 is 4836733479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9144576) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9743376384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314302449 + ... + 314302479.

Almost surely, 2^9743376384 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 9743376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929555200).

9743376384 is an abundant number, since it is smaller than the sum of its proper divisors (26115734016).

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

9743376384 is a wasteful number, since it uses less digits than its factorization.

9743376384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 9743376384 is about 98708.5426090366. The cubic root of 9743376384 is about 2135.8454628760.

The spelling of 9743376384 in words is "nine billion, seven hundred forty-three million, three hundred seventy-six thousand, three hundred eighty-four".