3318349824 has 216 divisors, whose sum is σ = 10019105460. Its totient is φ = 1056964608.

The previous prime is 3318349813. The next prime is 3318349841. The reversal of 3318349824 is 4289438133.

It can be written as a sum of positive squares in 2 ways, for example, as 3317760000 + 589824 = 57600^2 + 768^2 .

It is a super-2 number, since 2×3318349824² = 22022891108881661952, 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 3318349824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34209744 + ... + 34209840.

Almost surely, 2^3318349824 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 3318349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009552730).

3318349824 is an abundant number, since it is smaller than the sum of its proper divisors (6700755636).

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

3318349824 is an frugal number, since it uses more digits than its factorization.

3318349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3318349824 is about 57605.1197724647. The cubic root of 3318349824 is about 1491.5599811232.

The spelling of 3318349824 in words is "three billion, three hundred eighteen million, three hundred forty-nine thousand, eight hundred twenty-four".