3121274006928 has 960 divisors, whose sum is σ = 12154444922880. Its totient is φ = 723130675200.

The previous prime is 3121274006881. The next prime is 3121274006957. The reversal of 3121274006928 is 8296004721213.

3121274006928 is a `hidden beast` number, since 3 + 1 + 212 + 7 + 400 + 6 + 9 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241634326 + ... + 241647242.

It is an arithmetic number, because the mean of its divisors is an integer number (12660880128).

Almost surely, 2^{3121274006928} is an apocalyptic number.

3121274006928 is a gapful number since it is divisible by the number (38) 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 3121274006928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077222461440).

3121274006928 is an abundant number, since it is smaller than the sum of its proper divisors (9033170915952).

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

3121274006928 is a wasteful number, since it uses less digits than its factorization.

3121274006928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13036 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3121274006928 in words is "three trillion, one hundred twenty-one billion, two hundred seventy-four million, six thousand, nine hundred twenty-eight".