3382160 has 40 divisors (see below), whose sum is σ = 7993536. Its totient is φ = 1330560.

The previous prime is 3382157. The next prime is 3382177. The reversal of 3382160 is 612833.

3382160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3382160² = 22878012531200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 5045 + ... + 5675.

Almost surely, 2^3382160 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 3382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996768).

3382160 is an abundant number, since it is smaller than the sum of its proper divisors (4611376).

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

3382160 is a wasteful number, since it uses less digits than its factorization.

3382160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3382160 is about 1839.0649798199. The cubic root of 3382160 is about 150.1059991510.

Adding to 3382160 its reverse (612833), we get a palindrome (3994993).

The spelling of 3382160 in words is "three million, three hundred eighty-two thousand, one hundred sixty".