3668281344 has 480 divisors, whose sum is σ = 13540887360. Its totient is φ = 967458816.

The previous prime is 3668281297. The next prime is 3668281381. The reversal of 3668281344 is 4431828663.

3668281344 is a `hidden beast` number, since 366 + 8 + 281 + 3 + 4 + 4 = 666.

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 3668281344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 282175482 + ... + 282175494.

It is an arithmetic number, because the mean of its divisors is an integer number (28210182).

Almost surely, 2^3668281344 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 3668281344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770443680).

3668281344 is an abundant number, since it is smaller than the sum of its proper divisors (9872606016).

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

3668281344 is an frugal number, since it uses more digits than its factorization.

3668281344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3668281344 is about 60566.3383737204. The cubic root of 3668281344 is about 1542.2479880951.

The spelling of 3668281344 in words is "three billion, six hundred sixty-eight million, two hundred eighty-one thousand, three hundred forty-four".