3003745387104 has 576 divisors, whose sum is σ = 11069661657600. Its totient is φ = 778386309120.

The previous prime is 3003745387103. The next prime is 3003745387117. The reversal of 3003745387104 is 4017835473003.

3003745387104 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 7 + 4 + 538 + 7 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3003745387104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003745387103) 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, 268834062 + ... + 268845234.

It is an arithmetic number, because the mean of its divisors is an integer number (19218162600).

Almost surely, 2^{3003745387104} 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 3003745387104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534830828800).

3003745387104 is an abundant number, since it is smaller than the sum of its proper divisors (8065916270496).

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

3003745387104 is a wasteful number, since it uses less digits than its factorization.

3003745387104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 3003745387104 in words is "three trillion, three billion, seven hundred forty-five million, three hundred eighty-seven thousand, one hundred four".