3316456080 has 480 divisors, whose sum is σ = 13649126400. Its totient is φ = 704775168.

The previous prime is 3316456069. The next prime is 3316456081. The reversal of 3316456080 is 806546133.

3316456080 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 45 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3316456081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5649547 + ... + 5650133.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 2^3316456080 is an apocalyptic number.

3316456080 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 3316456080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824563200).

3316456080 is an abundant number, since it is smaller than the sum of its proper divisors (10332670320).

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

3316456080 is a wasteful number, since it uses less digits than its factorization.

3316456080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3316456080 is about 57588.6801376798. The cubic root of 3316456080 is about 1491.2761884337.

The spelling of 3316456080 in words is "three billion, three hundred sixteen million, four hundred fifty-six thousand, eighty".