3217130160000 has 640 divisors, whose sum is σ = 11267775657600. Its totient is φ = 810777600000.

The previous prime is 3217130159993. The next prime is 3217130160007. The reversal of 3217130160000 is 610317123.

It is an interprime number because it is at equal distance from previous prime (3217130159993) and next prime (3217130160007).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3217130160007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3150959490 + ... + 3150960510.

It is an arithmetic number, because the mean of its divisors is an integer number (17605899465).

Almost surely, 2^{3217130160000} is an apocalyptic number.

3217130160000 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 3217130160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633887828800).

3217130160000 is an abundant number, since it is smaller than the sum of its proper divisors (8050645497600).

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

3217130160000 is a wasteful number, since it uses less digits than its factorization.

3217130160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 3217130160000 its reverse (610317123), we get a palindrome (3217740477123).

The spelling of 3217130160000 in words is "three trillion, two hundred seventeen billion, one hundred thirty million, one hundred sixty thousand".