3027258929968 has 320 divisors, whose sum is σ = 7797400934400. Its totient is φ = 1104626958336.

The previous prime is 3027258929963. The next prime is 3027258930029. The reversal of 3027258929968 is 8699298527203.

It is a junction number, because it is equal to n+sod(n) for n = 3027258929897 and 3027258929906.

It is not an unprimeable number, because it can be changed into a prime (3027258929963) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 330013830 + ... + 330023002.

It is an arithmetic number, because the mean of its divisors is an integer number (24366877920).

Almost surely, 2^{3027258929968} 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 3027258929968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898700467200).

3027258929968 is an abundant number, since it is smaller than the sum of its proper divisors (4770142004432).

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

3027258929968 is a wasteful number, since it uses less digits than its factorization.

3027258929968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 9478 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 70.

The spelling of 3027258929968 in words is "three trillion, twenty-seven billion, two hundred fifty-eight million, nine hundred twenty-nine thousand, nine hundred sixty-eight".