3681591 has 12 divisors (see below), whose sum is σ = 5076216. Its totient is φ = 2373360.

The previous prime is 3681577. The next prime is 3681593. The reversal of 3681591 is 1951863.

It is not a de Polignac number, because 3681591 - 2⁶ = 3681527 is a prime.

It is a super-2 number, since 2×3681591² = 27108224582562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681593) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2245 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (423018).

Almost surely, 2^3681591 is an apocalyptic number.

3681591 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3681591 is a deficient number, since it is larger than the sum of its proper divisors (1394625).

3681591 is a wasteful number, since it uses less digits than its factorization.

3681591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1311 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 3681591 is about 1918.7472475550. The cubic root of 3681591 is about 154.4110987171.

The spelling of 3681591 in words is "three million, six hundred eighty-one thousand, five hundred ninety-one".