3682591 has 16 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 3076480.

The previous prime is 3682577. The next prime is 3682597. The reversal of 3682591 is 1952863.

3682591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3682591 - 2⁹ = 3682079 is a prime.

It is a super-2 number, since 2×3682591² = 27122952946562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8580 + ... + 8998.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^3682591 is an apocalyptic number.

3682591 is a deficient number, since it is larger than the sum of its proper divisors (671969).

3682591 is a wasteful number, since it uses less digits than its factorization.

3682591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494.

The product of its digits is 12960, while the sum is 34.

The square root of 3682591 is about 1919.0078165552. The cubic root of 3682591 is about 154.4250779198.

The spelling of 3682591 in words is "three million, six hundred eighty-two thousand, five hundred ninety-one".