3728241 has 16 divisors (see below), whose sum is σ = 6025920. Its totient is φ = 2259360.

The previous prime is 3728203. The next prime is 3728243. The reversal of 3728241 is 1428273.

It is not a de Polignac number, because 3728241 - 2⁶ = 3728177 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3728243) 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, 5980 + ... + 6573.

It is an arithmetic number, because the mean of its divisors is an integer number (376620).

Almost surely, 2^3728241 is an apocalyptic number.

It is an amenable number.

3728241 is a deficient number, since it is larger than the sum of its proper divisors (2297679).

3728241 is a wasteful number, since it uses less digits than its factorization.

3728241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12573 (or 12567 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 3728241 is about 1930.8653500439. The cubic root of 3728241 is about 155.0605521308.

Subtracting from 3728241 its reverse (1428273), we obtain a cube (2299968 = 132³).

It can be divided in two parts, 3728 and 241, that added together give a square (3969 = 63²).

The spelling of 3728241 in words is "three million, seven hundred twenty-eight thousand, two hundred forty-one".