3318195456 has 180 divisors, whose sum is σ = 10477386612. Its totient is φ = 1040891904.

The previous prime is 3318195449. The next prime is 3318195523. The reversal of 3318195456 is 6545918133.

3318195456 is a `hidden beast` number, since 3 + 3 + 1 + 8 + 195 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3089581056 + 228614400 = 55584^2 + 15120^2 .

It is a super-2 number, since 2×3318195456² = 22020842168438095872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347806 + ... + 357218.

Almost surely, 2^3318195456 is an apocalyptic number.

3318195456 is a gapful number since it is divisible by the number (36) 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 3318195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238693306).

3318195456 is an abundant number, since it is smaller than the sum of its proper divisors (7159191156).

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

3318195456 is an equidigital number, since it uses as much as digits as its factorization.

3318195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458 (or 9435 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 3318195456 is about 57603.7798759769. The cubic root of 3318195456 is about 1491.5368518859.

The spelling of 3318195456 in words is "three billion, three hundred eighteen million, one hundred ninety-five thousand, four hundred fifty-six".