3628635 has 16 divisors (see below), whose sum is σ = 5930496. Its totient is φ = 1893728.

The previous prime is 3628631. The next prime is 3628657. The reversal of 3628635 is 5368263.

It is a cyclic number.

It is not a de Polignac number, because 3628635 - 2² = 3628631 is a prime.

It is a super-3 number, since 3×3628635³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 3² + 6⁸ + 2¹⁸ + 8² + 6⁸ + 3⁸ + 5⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 3628596 and 3628605.

It is not an unprimeable number, because it can be changed into a prime (3628631) 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, 1869 + ... + 3278.

It is an arithmetic number, because the mean of its divisors is an integer number (370656).

Almost surely, 2^3628635 is an apocalyptic number.

3628635 is a deficient number, since it is larger than the sum of its proper divisors (2301861).

3628635 is a wasteful number, since it uses less digits than its factorization.

3628635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202.

The product of its digits is 25920, while the sum is 33.

The square root of 3628635 is about 1904.8976350450. The cubic root of 3628635 is about 153.6671706675.

The spelling of 3628635 in words is "three million, six hundred twenty-eight thousand, six hundred thirty-five".