3387805344 has 192 divisors, whose sum is σ = 12319534080. Its totient is φ = 879932160.

The previous prime is 3387805313. The next prime is 3387805357. The reversal of 3387805344 is 4435087833.

3387805344 is a `hidden beast` number, since 3 + 38 + 7 + 80 + 534 + 4 = 666.

It is a super-2 number, since 2×3387805344² = 22954450097669916672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3387805344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41067 + ... + 91989.

It is an arithmetic number, because the mean of its divisors is an integer number (64164240).

Almost surely, 2^3387805344 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 3387805344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159767040).

3387805344 is an abundant number, since it is smaller than the sum of its proper divisors (8931728736).

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

3387805344 is a wasteful number, since it uses less digits than its factorization.

3387805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50960 (or 50946 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3387805344 is about 58204.8567045741. The cubic root of 3387805344 is about 1501.8946937494.

The spelling of 3387805344 in words is "three billion, three hundred eighty-seven million, eight hundred five thousand, three hundred forty-four".