3628288 has 18 divisors (see below), whose sum is σ = 7242914. Its totient is φ = 1814016.

The previous prime is 3628279. The next prime is 3628291. The reversal of 3628288 is 8828263.

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 123904 = 1872^2 + 352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6831 + ... + 7342.

Almost surely, 2^3628288 is an apocalyptic number.

It is an amenable number.

3628288 is a deficient number, since it is larger than the sum of its proper divisors (3614626).

3628288 is an equidigital number, since it uses as much as digits as its factorization.

3628288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14189 (or 14175 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 3628288 is about 1904.8065518577. The cubic root of 3628288 is about 153.6622722040.

It can be divided in two parts, 3628 and 288, that added together give a triangular number (3916 = T₈₈).

The spelling of 3628288 in words is "three million, six hundred twenty-eight thousand, two hundred eighty-eight".