3121838968320 has 480 divisors, whose sum is σ = 11165127573600. Its totient is φ = 805642371072.

The previous prime is 3121838968207. The next prime is 3121838968331. The reversal of 3121838968320 is 238698381213.

3121838968320 is a `hidden beast` number, since 3 + 1 + 2 + 183 + 89 + 68 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107974026 + ... + 108002934.

It is an arithmetic number, because the mean of its divisors is an integer number (23260682445).

Almost surely, 2^{3121838968320} is an apocalyptic number.

3121838968320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121838968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582563786800).

3121838968320 is an abundant number, since it is smaller than the sum of its proper divisors (8043288605280).

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

3121838968320 is a wasteful number, since it uses less digits than its factorization.

3121838968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29090 (or 29071 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3121838968320 in words is "three trillion, one hundred twenty-one billion, eight hundred thirty-eight million, nine hundred sixty-eight thousand, three hundred twenty".