3344328 has 80 divisors (see below), whose sum is σ = 10113180. Its totient is φ = 1026432.

The previous prime is 3344321. The next prime is 3344333. The reversal of 3344328 is 8234433.

3344328 is a `hidden beast` number, since 334 + 4 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 39204 = 1818^2 + 198^2 .

It is a super-2 number, since 2×3344328² = 22369059543168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (3344321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8226 + ... + 8622.

Almost surely, 2^3344328 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 3344328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056590).

3344328 is an abundant number, since it is smaller than the sum of its proper divisors (6768852).

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

3344328 is a wasteful number, since it uses less digits than its factorization.

3344328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3344328 is about 1828.7503930280. The cubic root of 3344328 is about 149.5442164786.

The spelling of 3344328 in words is "three million, three hundred forty-four thousand, three hundred twenty-eight".