3006938873664 has 672 divisors, whose sum is σ = 10266113055744. Its totient is φ = 863735685120.

The previous prime is 3006938873581. The next prime is 3006938873693. The reversal of 3006938873664 is 4663788396003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444612747 + ... + 444619509.

It is an arithmetic number, because the mean of its divisors is an integer number (15276953952).

Almost surely, 2^{3006938873664} 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 3006938873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133056527872).

3006938873664 is an abundant number, since it is smaller than the sum of its proper divisors (7259174182080).

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

3006938873664 is a wasteful number, since it uses less digits than its factorization.

3006938873664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 3006938873664 in words is "three trillion, six billion, nine hundred thirty-eight million, eight hundred seventy-three thousand, six hundred sixty-four".