3365728 has 48 divisors (see below), whose sum is σ = 7348320. Its totient is φ = 1509376.

The previous prime is 3365723. The next prime is 3365741. The reversal of 3365728 is 8275633.

3365728 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 2×3365728² = 22656249939968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3365693 and 3365702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365723) 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 7 ways as a sum of consecutive naturals, for example, 12378 + ... + 12646.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 2^3365728 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 3365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674160).

3365728 is an abundant number, since it is smaller than the sum of its proper divisors (3982592).

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

3365728 is a wasteful number, since it uses less digits than its factorization.

3365728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 3365728 is about 1834.5920527463. The cubic root of 3365728 is about 149.8625110541.

The spelling of 3365728 in words is "three million, three hundred sixty-five thousand, seven hundred twenty-eight".