3217893991272 has 192 divisors, whose sum is σ = 9358221600000. Its totient is φ = 1034685114624.

The previous prime is 3217893991211. The next prime is 3217893991283. The reversal of 3217893991272 is 2721993987123.

3217893991272 is a `hidden beast` number, since 3 + 2 + 178 + 9 + 399 + 1 + 2 + 72 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62156854 + ... + 62208602.

It is an arithmetic number, because the mean of its divisors is an integer number (48740737500).

Almost surely, 2^{3217893991272} 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 3217893991272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679110800000).

3217893991272 is an abundant number, since it is smaller than the sum of its proper divisors (6140327608728).

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

3217893991272 is a wasteful number, since it uses less digits than its factorization.

3217893991272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52902 (or 52886 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 3217893991272 in words is "three trillion, two hundred seventeen billion, eight hundred ninety-three million, nine hundred ninety-one thousand, two hundred seventy-two".