3225199711104 has 640 divisors, whose sum is σ = 11579916057600. Its totient is φ = 870471069696.

The previous prime is 3225199711051. The next prime is 3225199711127. The reversal of 3225199711104 is 4011179915223.

3225199711104 is a `hidden beast` number, since 3 + 22 + 519 + 9 + 7 + 1 + 1 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3225199711104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 506069262 + ... + 506075634.

It is an arithmetic number, because the mean of its divisors is an integer number (18093618840).

Almost surely, 2^{3225199711104} 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 3225199711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789958028800).

3225199711104 is an abundant number, since it is smaller than the sum of its proper divisors (8354716346496).

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

3225199711104 is a wasteful number, since it uses less digits than its factorization.

3225199711104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 3225199711104 in words is "three trillion, two hundred twenty-five billion, one hundred ninety-nine million, seven hundred eleven thousand, one hundred four".