3217065984 has 480 divisors, whose sum is σ = 10988097120. Its totient is φ = 928972800.

The previous prime is 3217065979. The next prime is 3217065991. The reversal of 3217065984 is 4895607123.

3217065984 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3217065984 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74815467 + ... + 74815509.

It is an arithmetic number, because the mean of its divisors is an integer number (22891869).

It is a 1-persistent number, because it is pandigital, but 2⋅3217065984 = 6434131968 is not.

Almost surely, 2^3217065984 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 3217065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494048560).

3217065984 is an abundant number, since it is smaller than the sum of its proper divisors (7771031136).

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

3217065984 is a wasteful number, since it uses less digits than its factorization.

3217065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3217065984 is about 56719.1853256021. The cubic root of 3217065984 is about 1476.2276071764.

The spelling of 3217065984 in words is "three billion, two hundred seventeen million, sixty-five thousand, nine hundred eighty-four".