3225766809600 has 780 divisors, whose sum is σ = 12652447701564. Its totient is φ = 809568829440.

The previous prime is 3225766809599. The next prime is 3225766809647. The reversal of 3225766809600 is 69086675223.

3225766809600 is a `hidden beast` number, since 3 + 2 + 2 + 576 + 6 + 8 + 0 + 9 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 161642594304 + 3064124215296 = 402048^2 + 1750464^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 140993362 + ... + 141016238.

Almost surely, 2^{3225766809600} is an apocalyptic number.

3225766809600 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 3225766809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326223850782).

3225766809600 is an abundant number, since it is smaller than the sum of its proper divisors (9426680891964).

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

3225766809600 is a wasteful number, since it uses less digits than its factorization.

3225766809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22940 (or 22904 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3225766809600 in words is "three trillion, two hundred twenty-five billion, seven hundred sixty-six million, eight hundred nine thousand, six hundred".