3217040064 has 336 divisors, whose sum is σ = 11316614400. Its totient is φ = 886588416.

The previous prime is 3217040039. The next prime is 3217040111. The reversal of 3217040064 is 4600407123.

3217040064 is a `hidden beast` number, since 32 + 170 + 400 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3217040064² = 20698693546762248192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3156547 + ... + 3157565.

It is an arithmetic number, because the mean of its divisors is an integer number (33680400).

Almost surely, 2^3217040064 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 3217040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658307200).

3217040064 is an abundant number, since it is smaller than the sum of its proper divisors (8099574336).

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

3217040064 is a wasteful number, since it uses less digits than its factorization.

3217040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3217040064 is about 56718.9568310278. The cubic root of 3217040064 is about 1476.2236424952.

Adding to 3217040064 its reverse (4600407123), we get a palindrome (7817447187).

The spelling of 3217040064 in words is "three billion, two hundred seventeen million, forty thousand, sixty-four".