3628807225960 has 192 divisors, whose sum is σ = 9693005857920. Its totient is φ = 1197072898560.

The previous prime is 3628807225949. The next prime is 3628807225973. The reversal of 3628807225960 is 695227088263.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3628807225895 and 3628807225904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54013990 + ... + 54081130.

It is an arithmetic number, because the mean of its divisors is an integer number (50484405510).

Almost surely, 2^{3628807225960} 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 3628807225960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846502928960).

3628807225960 is an abundant number, since it is smaller than the sum of its proper divisors (6064198631960).

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

3628807225960 is a wasteful number, since it uses less digits than its factorization.

3628807225960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67336 (or 67265 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 3628807225960 in words is "three trillion, six hundred twenty-eight billion, eight hundred seven million, two hundred twenty-five thousand, nine hundred sixty".