3004434420224 has 80 divisors (see below), whose sum is σ = 6289998485760. Its totient is φ = 1430939811840.

The previous prime is 3004434420203. The next prime is 3004434420227. The reversal of 3004434420224 is 4220244344003.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3004434420227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2308697 + ... + 3367335.

It is an arithmetic number, because the mean of its divisors is an integer number (78624981072).

Almost surely, 2^{3004434420224} 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 3004434420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144999242880).

3004434420224 is an abundant number, since it is smaller than the sum of its proper divisors (3285564065536).

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

3004434420224 is a wasteful number, since it uses less digits than its factorization.

3004434420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058921 (or 1058905 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 3004434420224 its reverse (4220244344003), we get a palindrome (7224678764227).

The spelling of 3004434420224 in words is "three trillion, four billion, four hundred thirty-four million, four hundred twenty thousand, two hundred twenty-four".