3217028382720 has 512 divisors, whose sum is σ = 11807624448000. Its totient is φ = 830165483520.

The previous prime is 3217028382691. The next prime is 3217028382851. The reversal of 3217028382720 is 272838207123.

3217028382720 is a `hidden beast` number, since 32 + 1 + 70 + 283 + 8 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137122351 + ... + 137145809.

It is an arithmetic number, because the mean of its divisors is an integer number (23061766500).

Almost surely, 2^{3217028382720} is an apocalyptic number.

3217028382720 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 3217028382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903812224000).

3217028382720 is an abundant number, since it is smaller than the sum of its proper divisors (8590596065280).

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

3217028382720 is an equidigital number, since it uses as much as digits as its factorization.

3217028382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23534 (or 23500 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3217028382720 in words is "three trillion, two hundred seventeen billion, twenty-eight million, three hundred eighty-two thousand, seven hundred twenty".