3073968128000 has 960 divisors, whose sum is σ = 9710339498496. Its totient is φ = 943718400000.

The previous prime is 3073968127999. The next prime is 3073968128027. The reversal of 3073968128000 is 8218693703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15927295904 + ... + 15927296096.

Almost surely, 2^{3073968128000} 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 3073968128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855169749248).

3073968128000 is an abundant number, since it is smaller than the sum of its proper divisors (6636371370496).

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

3073968128000 is a wasteful number, since it uses less digits than its factorization.

3073968128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 3073968128000 in words is "three trillion, seventy-three billion, nine hundred sixty-eight million, one hundred twenty-eight thousand".