3382176 has 72 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 964992.

The previous prime is 3382157. The next prime is 3382177. The reversal of 3382176 is 6712833.

3382176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3382176² = 22878228989952, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3382177) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4345 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^3382176 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 3382176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3382176 is an abundant number, since it is smaller than the sum of its proper divisors (6959904).

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

3382176 is a wasteful number, since it uses less digits than its factorization.

3382176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 3382176 is about 1839.0693298514. The cubic root of 3382176 is about 150.1062358530.

The spelling of 3382176 in words is "three million, three hundred eighty-two thousand, one hundred seventy-six".