3241779298560 has 1728 divisors, whose sum is σ = 13091688529920. Its totient is φ = 733372416000.

The previous prime is 3241779298519. The next prime is 3241779298609. The reversal of 3241779298560 is 658929771423.

3241779298560 is a `hidden beast` number, since 3 + 2 + 41 + 7 + 7 + 9 + 29 + 8 + 560 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16455732382 + ... + 16455732578.

It is an arithmetic number, because the mean of its divisors is an integer number (7576208640).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3241779298560 = 6483558597120, but 3⋅3241779298560 = 9725337895680 is not.

Almost surely, 2^{3241779298560} is an apocalyptic number.

3241779298560 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 3241779298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545844264960).

3241779298560 is an abundant number, since it is smaller than the sum of its proper divisors (9849909231360).

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

3241779298560 is a wasteful number, since it uses less digits than its factorization.

3241779298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3241779298560 in words is "three trillion, two hundred forty-one billion, seven hundred seventy-nine million, two hundred ninety-eight thousand, five hundred sixty".