3005978946006 has 16 divisors (see below), whose sum is σ = 6219266785200. Its totient is φ = 967441499808.

The previous prime is 3005978945953. The next prime is 3005978946049. The reversal of 3005978946006 is 6006498795003.

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 7 ways as a sum of consecutive naturals, for example, 8637870361 + ... + 8637870708.

It is an arithmetic number, because the mean of its divisors is an integer number (388704174075).

Almost surely, 2^{3005978946006} is an apocalyptic number.

3005978946006 is an abundant number, since it is smaller than the sum of its proper divisors (3213287839194).

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

3005978946006 is a wasteful number, since it uses less digits than its factorization.

3005978946006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17275741103.

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 3005978946006 in words is "three trillion, five billion, nine hundred seventy-eight million, nine hundred forty-six thousand, six".