3538825 has 12 divisors (see below), whose sum is σ = 4411548. Its totient is φ = 2816000.

The previous prime is 3538813. The next prime is 3538831. The reversal of 3538825 is 5288353.

It can be written as a sum of positive squares in 6 ways, for example, as 82944 + 3455881 = 288^2 + 1859^2 .

It is not a de Polignac number, because 3538825 - 2⁷ = 3538697 is a prime.

It is a Duffinian number.

3538825 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8625 + ... + 9025.

It is an arithmetic number, because the mean of its divisors is an integer number (367629).

Almost surely, 2^3538825 is an apocalyptic number.

It is an amenable number.

3538825 is a deficient number, since it is larger than the sum of its proper divisors (872723).

3538825 is a wasteful number, since it uses less digits than its factorization.

3538825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 759 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 3538825 is about 1881.1764935805. The cubic root of 3538825 is about 152.3887928831.

It can be divided in two parts, 353 and 8825, that multiplied together give a square (3115225 = 1765²).

The spelling of 3538825 in words is "three million, five hundred thirty-eight thousand, eight hundred twenty-five".