3384452160 has 280 divisors, whose sum is σ = 12367976280. Its totient is φ = 877879296.

The previous prime is 3384452131. The next prime is 3384452189. The reversal of 3384452160 is 612544833.

3384452160 is a `hidden beast` number, since 3 + 38 + 44 + 521 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3384452131) and next prime (3384452189).

It can be written as a sum of positive squares in 4 ways, for example, as 318836736 + 3065615424 = 17856^2 + 55368^2 .

It is a super-2 number, since 2×3384452160² = 22909032846657331200, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 957276 + ... + 960804.

Almost surely, 2^3384452160 is an apocalyptic number.

3384452160 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 3384452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183988140).

3384452160 is an abundant number, since it is smaller than the sum of its proper divisors (8983524120).

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

3384452160 is a wasteful number, since it uses less digits than its factorization.

3384452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3384452160 is about 58176.0445544384. The cubic root of 3384452160 is about 1501.3990147661.

Adding to 3384452160 its reverse (612544833), we get a palindrome (3996996993).

The spelling of 3384452160 in words is "three billion, three hundred eighty-four million, four hundred fifty-two thousand, one hundred sixty".