7345128384 has 448 divisors, whose sum is σ = 25123322880. Its totient is φ = 2082263040.

The previous prime is 7345128383. The next prime is 7345128397. The reversal of 7345128384 is 4838215437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7345128383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23170594 + ... + 23170910.

Almost surely, 2^7345128384 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 7345128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561661440).

7345128384 is an abundant number, since it is smaller than the sum of its proper divisors (17778194496).

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

7345128384 is a wasteful number, since it uses less digits than its factorization.

7345128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 7345128384 is about 85703.7244464907. The cubic root of 7345128384 is about 1943.8666270333.

The spelling of 7345128384 in words is "seven billion, three hundred forty-five million, one hundred twenty-eight thousand, three hundred eighty-four".