3001442304 has 224 divisors, whose sum is σ = 9310786560. Its totient is φ = 842268672.

The previous prime is 3001442303. The next prime is 3001442317. The reversal of 3001442304 is 4032441003.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001442303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12558217 + ... + 12558455.

Almost surely, 2^3001442304 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 3001442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655393280).

3001442304 is an abundant number, since it is smaller than the sum of its proper divisors (6309344256).

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

3001442304 is an equidigital number, since it uses as much as digits as its factorization.

3001442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3001442304 is about 54785.4205423304. The cubic root of 3001442304 is about 1442.4806624246.

Adding to 3001442304 its reverse (4032441003), we get a palindrome (7033883307).

The spelling of 3001442304 in words is "three billion, one million, four hundred forty-two thousand, three hundred four".