3121367389344 has 576 divisors, whose sum is σ = 10234995563520. Its totient is φ = 895795200000.

The previous prime is 3121367389321. The next prime is 3121367389369. The reversal of 3121367389344 is 4439837631213.

3121367389344 is a `hidden beast` number, since 3 + 1 + 213 + 6 + 7 + 3 + 89 + 344 = 666.

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, 1733129244 + ... + 1733131044.

It is an arithmetic number, because the mean of its divisors is an integer number (17769089520).

Almost surely, 2^{3121367389344} is an apocalyptic number.

3121367389344 is a gapful number since it is divisible by the number (34) 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 3121367389344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117497781760).

3121367389344 is an abundant number, since it is smaller than the sum of its proper divisors (7113628174176).

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

3121367389344 is a wasteful number, since it uses less digits than its factorization.

3121367389344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2474 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 3121367389344 in words is "three trillion, one hundred twenty-one billion, three hundred sixty-seven million, three hundred eighty-nine thousand, three hundred forty-four".