3872635 has 12 divisors (see below), whose sum is σ = 5033232. Its totient is φ = 2859168.

The previous prime is 3872591. The next prime is 3872647. The reversal of 3872635 is 5362783.

3872635 = T₄₂₆ + T₄₂₇ + ... + T₄₆₄.

It is not a de Polignac number, because 3872635 - 2⁷ = 3872507 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3872635.

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, 1447 + ... + 3136.

It is an arithmetic number, because the mean of its divisors is an integer number (419436).

Almost surely, 2^3872635 is an apocalyptic number.

3872635 is a deficient number, since it is larger than the sum of its proper divisors (1160597).

3872635 is a wasteful number, since it uses less digits than its factorization.

3872635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614 (or 4601 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 3872635 is about 1967.9011662175. The cubic root of 3872635 is about 157.0370718575.

The spelling of 3872635 in words is "three million, eight hundred seventy-two thousand, six hundred thirty-five".