3003001333304 has 128 divisors (see below), whose sum is σ = 6673847040000. Its totient is φ = 1266086642688.

The previous prime is 3003001333273. The next prime is 3003001333333. The reversal of 3003001333304 is 4033331003003.

It is a self number, because there is not a number n which added to its sum of digits gives 3003001333304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44416277 + ... + 44483835.

It is an arithmetic number, because the mean of its divisors is an integer number (52139430000).

Almost surely, 2^{3003001333304} 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 3003001333304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336923520000).

3003001333304 is an abundant number, since it is smaller than the sum of its proper divisors (3670845706696).

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

3003001333304 is a wasteful number, since it uses less digits than its factorization.

3003001333304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67850 (or 67832 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 3003001333304 its reverse (4033331003003), we get a palindrome (7036332336307).

The spelling of 3003001333304 in words is "three trillion, three billion, one million, three hundred thirty-three thousand, three hundred four".