3243005787960 has 256 divisors, whose sum is σ = 11126970000000. Its totient is φ = 839549878272.

The previous prime is 3243005787947. The next prime is 3243005787977. The reversal of 3243005787960 is 697875003423.

3243005787960 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 0 + 0 + 578 + 7 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3243005787897 and 3243005787906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17851666 + ... + 18032414.

Almost surely, 2^{3243005787960} is an apocalyptic number.

3243005787960 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 3243005787960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563485000000).

3243005787960 is an abundant number, since it is smaller than the sum of its proper divisors (7883964212040).

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

3243005787960 is a wasteful number, since it uses less digits than its factorization.

3243005787960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181255 (or 181245 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3243005787960 in words is "three trillion, two hundred forty-three billion, five million, seven hundred eighty-seven thousand, nine hundred sixty".