3379328 has 32 divisors (see below), whose sum is σ = 7132860. Its totient is φ = 1589248.

The previous prime is 3379301. The next prime is 3379331. The reversal of 3379328 is 8239733.

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 23104 = 1832^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3379328² = 22839715463168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1400 + ... + 2952.

Almost surely, 2^3379328 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 3379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566430).

3379328 is an abundant number, since it is smaller than the sum of its proper divisors (3753532).

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

3379328 is a wasteful number, since it uses less digits than its factorization.

3379328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1572 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 3379328 is about 1838.2948620937. The cubic root of 3379328 is about 150.0640911301.

The spelling of 3379328 in words is "three million, three hundred seventy-nine thousand, three hundred twenty-eight".