3260788425000 has 288 divisors, whose sum is σ = 11307682746360. Its totient is φ = 848332800000.

The previous prime is 3260788424983. The next prime is 3260788425001. The reversal of 3260788425000 is 5248870623.

3260788425000 is a `hidden beast` number, since 3 + 2 + 60 + 7 + 8 + 84 + 2 + 500 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3113622586116 + 147165838884 = 1764546^2 + 383622^2 .

It is a super-2 number, since 2×3260788425000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3260788425001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9048264 + ... + 9401736.

Almost surely, 2^{3260788425000} is an apocalyptic number.

3260788425000 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 3260788425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653841373180).

3260788425000 is an abundant number, since it is smaller than the sum of its proper divisors (8046894321360).

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

3260788425000 is a wasteful number, since it uses less digits than its factorization.

3260788425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353551 (or 353524 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3260788425000 in words is "three trillion, two hundred sixty billion, seven hundred eighty-eight million, four hundred twenty-five thousand".