3385728 has 48 divisors (see below), whose sum is σ = 9746100. Its totient is φ = 1128192.

The previous prime is 3385717. The next prime is 3385741. The reversal of 3385728 is 8275833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3385728³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3385692 and 3385701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 318 + ... + 2621.

Almost surely, 2^3385728 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 3385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873050).

3385728 is an abundant number, since it is smaller than the sum of its proper divisors (6360372).

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

3385728 is a wasteful number, since it uses less digits than its factorization.

3385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2944 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3385728 is about 1840.0347822799. The cubic root of 3385728 is about 150.1587652314.

The spelling of 3385728 in words is "three million, three hundred eighty-five thousand, seven hundred twenty-eight".