3318468480 has 256 divisors, whose sum is σ = 11828980800. Its totient is φ = 879206400.

The previous prime is 3318468473. The next prime is 3318468499. The reversal of 3318468480 is 848648133.

3318468480 is a `hidden beast` number, since 3 + 31 + 84 + 68 + 480 = 666.

3318468480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3318468480² = 22024466105507020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3127150 + ... + 3128210.

Almost surely, 2^3318468480 is an apocalyptic number.

3318468480 is a gapful number since it is divisible by the number (30) 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 3318468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914490400).

3318468480 is an abundant number, since it is smaller than the sum of its proper divisors (8510512320).

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

3318468480 is a wasteful number, since it uses less digits than its factorization.

3318468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3318468480 is about 57606.1496717147. The cubic root of 3318468480 is about 1491.5777590792.

The spelling of 3318468480 in words is "three billion, three hundred eighteen million, four hundred sixty-eight thousand, four hundred eighty".