3672128 has 28 divisors (see below), whose sum is σ = 7350252. Its totient is φ = 1820160.

The previous prime is 3672127. The next prime is 3672143. The reversal of 3672128 is 8212763.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 3564544 = 328^2 + 1888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3672128.

It is not an unprimeable number, because it can be changed into a prime (3672127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11426 + ... + 11742.

It is an arithmetic number, because the mean of its divisors is an integer number (262509).

Almost surely, 2^3672128 is an apocalyptic number.

It is an amenable number.

3672128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3672128 is a wasteful number, since it uses less digits than its factorization.

3672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 3672128 is about 1916.2797290584. The cubic root of 3672128 is about 154.2786880333.

The spelling of 3672128 in words is "three million, six hundred seventy-two thousand, one hundred twenty-eight".