3409728 has 112 divisors (see below), whose sum is σ = 10728960. Its totient is φ = 935424.

The previous prime is 3409711. The next prime is 3409729. The reversal of 3409728 is 8279043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57763 + ... + 57821.

Almost surely, 2^3409728 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 3409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364480).

3409728 is an abundant number, since it is smaller than the sum of its proper divisors (7319232).

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

3409728 is a wasteful number, since it uses less digits than its factorization.

3409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3409728 is about 1846.5448816641. The cubic root of 3409728 is about 150.5127342492.

The spelling of 3409728 in words is "three million, four hundred nine thousand, seven hundred twenty-eight".