3245783806720 has 288 divisors, whose sum is σ = 9573817034880. Its totient is φ = 1026700738560.

The previous prime is 3245783806717. The next prime is 3245783806721. The reversal of 3245783806720 is 276083875423.

It is a happy number.

It is a super-2 number, since 2×3245783806720² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3245783806721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264286980 + ... + 264299260.

It is an arithmetic number, because the mean of its divisors is an integer number (33242420260).

Almost surely, 2^{3245783806720} 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 3245783806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786908517440).

3245783806720 is an abundant number, since it is smaller than the sum of its proper divisors (6328033228160).

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

3245783806720 is a wasteful number, since it uses less digits than its factorization.

3245783806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14591 (or 14577 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 55.

The spelling of 3245783806720 in words is "three trillion, two hundred forty-five billion, seven hundred eighty-three million, eight hundred six thousand, seven hundred twenty".