3318464688 has 240 divisors, whose sum is σ = 11120621568. Its totient is φ = 833817600.

The previous prime is 3318464629. The next prime is 3318464689. The reversal of 3318464688 is 8864648133.

It is a super-2 number, since 2×3318464688² = 22024415771005874688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3318464688.

It is not an unprimeable number, because it can be changed into a prime (3318464689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259020 + ... + 1261652.

Almost surely, 2^3318464688 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 3318464688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560310784).

3318464688 is an abundant number, since it is smaller than the sum of its proper divisors (7802156880).

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

3318464688 is a wasteful number, since it uses less digits than its factorization.

3318464688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2687 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 3318464688 is about 57606.1167585526. The cubic root of 3318464688 is about 1491.5771909391.

The spelling of 3318464688 in words is "three billion, three hundred eighteen million, four hundred sixty-four thousand, six hundred eighty-eight".