3417563664 has 160 divisors (see below), whose sum is σ = 10039476480. Its totient is φ = 1126742400.

The previous prime is 3417563663. The next prime is 3417563689. The reversal of 3417563664 is 4663657143.

3417563664 is a `hidden beast` number, since 3 + 4 + 1 + 7 + 5 + 636 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (3417563663) 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, 3533709 + ... + 3534675.

It is an arithmetic number, because the mean of its divisors is an integer number (62746728).

Almost surely, 2^3417563664 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 3417563664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019738240).

3417563664 is an abundant number, since it is smaller than the sum of its proper divisors (6621912816).

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

3417563664 is an equidigital number, since it uses as much as digits as its factorization.

3417563664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1073 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3417563664 is about 58459.9321244902. The cubic root of 3417563664 is about 1506.2794040414.

The spelling of 3417563664 in words is "three billion, four hundred seventeen million, five hundred sixty-three thousand, six hundred sixty-four".