3321164 has 48 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 1257600.

The previous prime is 3321163. The next prime is 3321179. The reversal of 3321164 is 4611233.

3321164 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 2×3321164² = 22060260629792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321163) 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 15 ways as a sum of consecutive naturals, for example, 12497 + ... + 12759.

It is an arithmetic number, because the mean of its divisors is an integer number (155232).

Almost surely, 2^3321164 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 3321164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

3321164 is an abundant number, since it is smaller than the sum of its proper divisors (4129972).

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

3321164 is a wasteful number, since it uses less digits than its factorization.

3321164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 324 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 3321164 is about 1822.4061018335. The cubic root of 3321164 is about 149.1981508538.

Adding to 3321164 its reverse (4611233), we get a palindrome (7932397).

It can be divided in two parts, 3321 and 164, that multiplied together give a square (544644 = 738²).

The spelling of 3321164 in words is "three million, three hundred twenty-one thousand, one hundred sixty-four".