3003432303004 has 144 divisors (see below), whose sum is σ = 6533006441472. Its totient is φ = 1200410523648.

The previous prime is 3003432302989. The next prime is 3003432303013. The reversal of 3003432303004 is 4003032343003.

It is a super-2 number, since 2×3003432303004² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3003432303004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 371110782 + ... + 371118874.

It is an arithmetic number, because the mean of its divisors is an integer number (45368100288).

Almost surely, 2^{3003432303004} is an apocalyptic number.

3003432303004 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 3003432303004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266503220736).

3003432303004 is an abundant number, since it is smaller than the sum of its proper divisors (3529574138468).

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

3003432303004 is a wasteful number, since it uses less digits than its factorization.

3003432303004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 3003432303004 its reverse (4003032343003), we get a palindrome (7006464646007).

The spelling of 3003432303004 in words is "three trillion, three billion, four hundred thirty-two million, three hundred three thousand, four".