3122314218828 has 384 divisors, whose sum is σ = 9873014538240. Its totient is φ = 832988759040.

The previous prime is 3122314218809. The next prime is 3122314218851. The reversal of 3122314218828 is 8288124132213.

3122314218828 is a `hidden beast` number, since 3 + 122 + 3 + 1 + 421 + 88 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1724082043 + ... + 1724083853.

It is an arithmetic number, because the mean of its divisors is an integer number (25710975360).

Almost surely, 2^{3122314218828} 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 3122314218828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936507269120).

3122314218828 is an abundant number, since it is smaller than the sum of its proper divisors (6750700319412).

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

3122314218828 is a wasteful number, since it uses less digits than its factorization.

3122314218828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2826 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 3122314218828 in words is "three trillion, one hundred twenty-two billion, three hundred fourteen million, two hundred eighteen thousand, eight hundred twenty-eight".