3301728 has 48 divisors (see below), whose sum is σ = 8761536. Its totient is φ = 1088640.

The previous prime is 3301709. The next prime is 3301733. The reversal of 3301728 is 8271033.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3301698 and 3301707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15543 + ... + 15753.

It is an arithmetic number, because the mean of its divisors is an integer number (182532).

Almost surely, 2^3301728 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 3301728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380768).

3301728 is an abundant number, since it is smaller than the sum of its proper divisors (5459808).

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

3301728 is a wasteful number, since it uses less digits than its factorization.

3301728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3301728 is about 1817.0657665588. The cubic root of 3301728 is about 148.9065371851.

The spelling of 3301728 in words is "three million, three hundred one thousand, seven hundred twenty-eight".