3005114320 has 80 divisors (see below), whose sum is σ = 7602169680. Its totient is φ = 1098104832.

The previous prime is 3005114267. The next prime is 3005114339. The reversal of 3005114320 is 234115003.

It can be written as a sum of positive squares in 8 ways, for example, as 930494016 + 2074620304 = 30504^2 + 45548^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85986 + ... + 115774.

It is an arithmetic number, because the mean of its divisors is an integer number (95027121).

Almost surely, 2^3005114320 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 3005114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801084840).

3005114320 is an abundant number, since it is smaller than the sum of its proper divisors (4597055360).

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

3005114320 is a wasteful number, since it uses less digits than its factorization.

3005114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29912 (or 29906 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3005114320 is about 54818.9230102161. The cubic root of 3005114320 is about 1443.0686745571.

Adding to 3005114320 its reverse (234115003), we get a palindrome (3239229323).

The spelling of 3005114320 in words is "three billion, five million, one hundred fourteen thousand, three hundred twenty".