3254871808800 has 864 divisors, whose sum is σ = 12414075448320. Its totient is φ = 800120217600.

The previous prime is 3254871808763. The next prime is 3254871808807. The reversal of 3254871808800 is 88081784523.

3254871808800 is a `hidden beast` number, since 3 + 2 + 5 + 487 + 1 + 80 + 8 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3254871808807) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1380937222 + ... + 1380939578.

It is an arithmetic number, because the mean of its divisors is an integer number (14368142880).

Almost surely, 2^{3254871808800} is an apocalyptic number.

3254871808800 is a gapful number since it is divisible by the number (30) 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 3254871808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207037724160).

3254871808800 is an abundant number, since it is smaller than the sum of its proper divisors (9159203639520).

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

3254871808800 is a wasteful number, since it uses less digits than its factorization.

3254871808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 3254871808800 in words is "three trillion, two hundred fifty-four billion, eight hundred seventy-one million, eight hundred eight thousand, eight hundred".