3315584664 has 640 divisors, whose sum is σ = 12378009600. Its totient is φ = 806215680.

The previous prime is 3315584627. The next prime is 3315584677. The reversal of 3315584664 is 4664855133.

3315584664 is a `hidden beast` number, since 3 + 3 + 1 + 5 + 584 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45418932 + ... + 45419004.

It is an arithmetic number, because the mean of its divisors is an integer number (19340640).

Almost surely, 2^3315584664 is an apocalyptic number.

3315584664 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 3315584664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189004800).

3315584664 is an abundant number, since it is smaller than the sum of its proper divisors (9062424936).

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

3315584664 is a wasteful number, since it uses less digits than its factorization.

3315584664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3315584664 is about 57581.1137787383. The cubic root of 3315584664 is about 1491.1455634800.

The spelling of 3315584664 in words is "three billion, three hundred fifteen million, five hundred eighty-four thousand, six hundred sixty-four".