3641728 has 32 divisors (see below), whose sum is σ = 7576560. Its totient is φ = 1740288.

The previous prime is 3641707. The next prime is 3641731. The reversal of 3641728 is 8271463.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3641728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2326 + ... + 3562.

Almost surely, 2^3641728 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 3641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788280).

3641728 is an abundant number, since it is smaller than the sum of its proper divisors (3934832).

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

3641728 is a wasteful number, since it uses less digits than its factorization.

3641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 3641728 is about 1908.3312081502. The cubic root of 3641728 is about 153.8517716923.

The spelling of 3641728 in words is "three million, six hundred forty-one thousand, seven hundred twenty-eight".