3074889811968 has 432 divisors, whose sum is σ = 9636518569860. Its totient is φ = 944156049408.

The previous prime is 3074889811957. The next prime is 3074889812051. The reversal of 3074889811968 is 8691189884703.

3074889811968 is a `hidden beast` number, since 3 + 0 + 7 + 488 + 9 + 81 + 1 + 9 + 68 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 132868998144 + 2942020813824 = 364512^2 + 1715232^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3074889811896 and 3074889811905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2407900546 + ... + 2407901822.

Almost surely, 2^{3074889811968} 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 3074889811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818259284930).

3074889811968 is an abundant number, since it is smaller than the sum of its proper divisors (6561628757892).

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

3074889811968 is a wasteful number, since it uses less digits than its factorization.

3074889811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 3074889811968 in words is "three trillion, seventy-four billion, eight hundred eighty-nine million, eight hundred eleven thousand, nine hundred sixty-eight".