3217358664 has 128 divisors (see below), whose sum is σ = 10190880000. Its totient is φ = 931709952.

The previous prime is 3217358663. The next prime is 3217358699. The reversal of 3217358664 is 4668537123.

3217358664 is a `hidden beast` number, since 3 + 2 + 1 + 7 + 3 + 586 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (3217358663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14037 + ... + 81435.

It is an arithmetic number, because the mean of its divisors is an integer number (79616250).

Almost surely, 2^3217358664 is an apocalyptic number.

3217358664 is a gapful number since it is divisible by the number (34) 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 3217358664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095440000).

3217358664 is an abundant number, since it is smaller than the sum of its proper divisors (6973521336).

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

3217358664 is a wasteful number, since it uses less digits than its factorization.

3217358664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67444 (or 67434 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3217358664 is about 56721.7653462937. The cubic root of 3217358664 is about 1476.2723735563.

The spelling of 3217358664 in words is "three billion, two hundred seventeen million, three hundred fifty-eight thousand, six hundred sixty-four".