3225961975600 has 720 divisors, whose sum is σ = 10147717171200. Its totient is φ = 962293063680.

The previous prime is 3225961975597. The next prime is 3225961975637. The reversal of 3225961975600 is 65791695223.

3225961975600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2004947596 + ... + 2004949204.

Almost surely, 2^{3225961975600} 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 3225961975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073858585600).

3225961975600 is an abundant number, since it is smaller than the sum of its proper divisors (6921755195600).

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

3225961975600 is a wasteful number, since it uses less digits than its factorization.

3225961975600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 55.

The spelling of 3225961975600 in words is "three trillion, two hundred twenty-five billion, nine hundred sixty-one million, nine hundred seventy-five thousand, six hundred".