3319728 has 80 divisors (see below), whose sum is σ = 9332736. Its totient is φ = 1013760.

The previous prime is 3319727. The next prime is 3319733. The reversal of 3319728 is 8279133.

3319728 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 2×3319728² = 22041187987968, which contains 22 as substring.

Its product of digits (9072) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (3319727) 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, 34176 + ... + 34272.

Almost surely, 2^3319728 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 3319728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666368).

3319728 is an abundant number, since it is smaller than the sum of its proper divisors (6013008).

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

3319728 is a wasteful number, since it uses less digits than its factorization.

3319728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 3319728 is about 1822.0120746032. The cubic root of 3319728 is about 149.1766443950.

The spelling of 3319728 in words is "three million, three hundred nineteen thousand, seven hundred twenty-eight".