3259741228800 has 1296 divisors, whose sum is σ = 12898274457600. Its totient is φ = 722586009600.

The previous prime is 3259741228771. The next prime is 3259741228817. The reversal of 3259741228800 is 88221479523.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4533714841 + ... + 4533715559.

Almost surely, 2^{3259741228800} is an apocalyptic number.

3259741228800 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 3259741228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449137228800).

3259741228800 is an abundant number, since it is smaller than the sum of its proper divisors (9638533228800).

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

3259741228800 is a wasteful number, since it uses less digits than its factorization.

3259741228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 3259741228800 in words is "three trillion, two hundred fifty-nine billion, seven hundred forty-one million, two hundred twenty-eight thousand, eight hundred".