3003505005204 has 288 divisors, whose sum is σ = 8832151560960. Its totient is φ = 850526515200.

The previous prime is 3003505005203. The next prime is 3003505005233. The reversal of 3003505005204 is 4025005053003.

3003505005204 is a `hidden beast` number, since 300 + 350 + 5 + 0 + 0 + 5 + 2 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003505005203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563189722 + ... + 563195054.

It is an arithmetic number, because the mean of its divisors is an integer number (30667192920).

Almost surely, 2^{3003505005204} is an apocalyptic number.

3003505005204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003505005204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416075780480).

3003505005204 is an abundant number, since it is smaller than the sum of its proper divisors (5828646555756).

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

3003505005204 is a wasteful number, since it uses less digits than its factorization.

3003505005204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 3003505005204 in words is "three trillion, three billion, five hundred five million, five thousand, two hundred four".