3006127722104 has 128 divisors (see below), whose sum is σ = 6397587705600. Its totient is φ = 1314665717760.

The previous prime is 3006127722077. The next prime is 3006127722139. The reversal of 3006127722104 is 4012277216003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89753249 + ... + 89786735.

It is an arithmetic number, because the mean of its divisors is an integer number (49981153950).

Almost surely, 2^{3006127722104} 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 3006127722104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198793852800).

3006127722104 is an abundant number, since it is smaller than the sum of its proper divisors (3391459983496).

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

3006127722104 is a wasteful number, since it uses less digits than its factorization.

3006127722104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34153 (or 34149 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 3006127722104 in words is "three trillion, six billion, one hundred twenty-seven million, seven hundred twenty-two thousand, one hundred four".