3217197295104 has 640 divisors, whose sum is σ = 9988955665920. Its totient is φ = 911278080000.

The previous prime is 3217197295057. The next prime is 3217197295163. The reversal of 3217197295104 is 4015927917123.

3217197295104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5197410507 + ... + 5197411125.

It is an arithmetic number, because the mean of its divisors is an integer number (15607743228).

Almost surely, 2^{3217197295104} is an apocalyptic number.

3217197295104 is a gapful number since it is divisible by the number (34) 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 3217197295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994477832960).

3217197295104 is an abundant number, since it is smaller than the sum of its proper divisors (6771758370816).

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

3217197295104 is a wasteful number, since it uses less digits than its factorization.

3217197295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 3217197295104 in words is "three trillion, two hundred seventeen billion, one hundred ninety-seven million, two hundred ninety-five thousand, one hundred four".