3386341728 has 720 divisors, whose sum is σ = 13383304704. Its totient is φ = 815546880.

The previous prime is 3386341723. The next prime is 3386341733. The reversal of 3386341728 is 8271436833.

3386341728 is a `hidden beast` number, since 3 + 3 + 8 + 634 + 1 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3386341723) and next prime (3386341733).

It is a super-2 number, since 2×3386341728² = 22934620597588051968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386341723) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 72049801 + ... + 72049847.

Almost surely, 2^3386341728 is an apocalyptic number.

3386341728 is a gapful number since it is divisible by the number (38) 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 3386341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691652352).

3386341728 is an abundant number, since it is smaller than the sum of its proper divisors (9996962976).

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

3386341728 is a wasteful number, since it uses less digits than its factorization.

3386341728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3386341728 is about 58192.2823748992. The cubic root of 3386341728 is about 1501.6783773326.

The spelling of 3386341728 in words is "three billion, three hundred eighty-six million, three hundred forty-one thousand, seven hundred twenty-eight".