3259013179968 has 1344 divisors, whose sum is σ = 12795318681600. Its totient is φ = 768592281600.

The previous prime is 3259013179967. The next prime is 3259013179997. The reversal of 3259013179968 is 8699713109523.

3259013179968 is a `hidden beast` number, since 3 + 2 + 590 + 1 + 31 + 7 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3259013179967) 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 191 ways as a sum of consecutive naturals, for example, 1809556668 + ... + 1809558468.

It is an arithmetic number, because the mean of its divisors is an integer number (9520326400).

Almost surely, 2^{3259013179968} is an apocalyptic number.

3259013179968 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 3259013179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397659340800).

3259013179968 is an abundant number, since it is smaller than the sum of its proper divisors (9536305501632).

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

3259013179968 is a wasteful number, since it uses less digits than its factorization.

3259013179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 3259013179968 in words is "three trillion, two hundred fifty-nine billion, thirteen million, one hundred seventy-nine thousand, nine hundred sixty-eight".