3243261775040 has 336 divisors, whose sum is σ = 9473322988800. Its totient is φ = 1035580114944.

The previous prime is 3243261775031. The next prime is 3243261775051. The reversal of 3243261775040 is 405771623423.

It is a super-2 number, since 2×3243261775040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3243261774982 and 3243261775000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47675771 + ... + 47743749.

Almost surely, 2^{3243261775040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243261775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736661494400).

3243261775040 is an abundant number, since it is smaller than the sum of its proper divisors (6230061213760).

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

3243261775040 is a wasteful number, since it uses less digits than its factorization.

3243261775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68100 (or 68071 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The spelling of 3243261775040 in words is "three trillion, two hundred forty-three billion, two hundred sixty-one million, seven hundred seventy-five thousand, forty".