3005305503004 has 12 divisors (see below), whose sum is σ = 6010611006064. Its totient is φ = 1287988072704.

The previous prime is 3005305502981. The next prime is 3005305503041. The reversal of 3005305503004 is 4003055035003.

3005305503004 is an admirable number.

It is a super-3 number, since 3×3005305503004³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 107332339393 = 3005305503004 / (3 + 0 + 0 + 5 + 3 + 0 + 5 + 5 + 0 + 3 + 0 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53666169669 + ... + 53666169724.

Almost surely, 2^{3005305503004} is an apocalyptic number.

It is an amenable number.

3005305503004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

3005305503004 is a wasteful number, since it uses less digits than its factorization.

3005305503004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107332339404 (or 107332339402 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 28.

The spelling of 3005305503004 in words is "three trillion, five billion, three hundred five million, five hundred three thousand, four".