3628625 has 64 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 2016000.

The previous prime is 3628621. The next prime is 3628631. The reversal of 3628625 is 5268263.

It is not a de Polignac number, because 3628625 - 2² = 3628621 is a prime.

It is a super-3 number, since 3×3628625³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3628591 and 3628600.

It is not an unprimeable number, because it can be changed into a prime (3628621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125111 + ... + 125139.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^3628625 is an apocalyptic number.

3628625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3628625 is a deficient number, since it is larger than the sum of its proper divisors (2661295).

3628625 is a wasteful number, since it uses less digits than its factorization.

3628625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 3628625 is about 1904.8950102302. The cubic root of 3628625 is about 153.6670295058.

The spelling of 3628625 in words is "three million, six hundred twenty-eight thousand, six hundred twenty-five".