3003505004970 has 128 divisors (see below), whose sum is σ = 8177573376000. Its totient is φ = 784255196736.

The previous prime is 3003505004959. The next prime is 3003505004971. The reversal of 3003505004970 is 794005053003.

3003505004970 is a `hidden beast` number, since 30 + 0 + 3 + 50 + 500 + 4 + 9 + 70 = 666.

It is not an unprimeable number, because it can be changed into a prime (3003505004971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2523931 + ... + 3518129.

It is an arithmetic number, because the mean of its divisors is an integer number (63887292000).

Almost surely, 2^{3003505004970} is an apocalyptic number.

3003505004970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003505004970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088786688000).

3003505004970 is an abundant number, since it is smaller than the sum of its proper divisors (5174068371030).

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

3003505004970 is a wasteful number, since it uses less digits than its factorization.

3003505004970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994449 (or 994443 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 3003505004970 in words is "three trillion, three billion, five hundred five million, four thousand, nine hundred seventy".