3587661 has 48 divisors (see below), whose sum is σ = 6709248. Its totient is φ = 1792800.

The previous prime is 3587659. The next prime is 3587669. The reversal of 3587661 is 1667853.

It is not a de Polignac number, because 3587661 - 2¹ = 3587659 is a prime.

It is a super-3 number, since 3×3587661³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3587669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21400 + ... + 21566.

It is an arithmetic number, because the mean of its divisors is an integer number (139776).

Almost surely, 2^3587661 is an apocalyptic number.

3587661 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3587661 is a deficient number, since it is larger than the sum of its proper divisors (3121587).

3587661 is a wasteful number, since it uses less digits than its factorization.

3587661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3587661 is about 1894.1121930868. The cubic root of 3587661 is about 153.0865843379.

It can be divided in two parts, 35876 and 61, that added together give a cube (35937 = 33³).

The spelling of 3587661 in words is "three million, five hundred eighty-seven thousand, six hundred sixty-one".