3728560 has 80 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1278720.

The previous prime is 3728537. The next prime is 3728561. The reversal of 3728560 is 658273.

3728560 = 66² + 67² + ... + 225².

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3728561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16609 + ... + 16831.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^3728560 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 3728560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3728560 is an abundant number, since it is smaller than the sum of its proper divisors (6270800).

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

3728560 is a wasteful number, since it uses less digits than its factorization.

3728560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3728560 is about 1930.9479537264. The cubic root of 3728560 is about 155.0649744938.

The spelling of 3728560 in words is "three million, seven hundred twenty-eight thousand, five hundred sixty".