3687537 has 16 divisors (see below), whose sum is σ = 5685120. Its totient is φ = 2082432.

The previous prime is 3687469. The next prime is 3687557. The reversal of 3687537 is 7357863.

It is not a de Polignac number, because 3687537 - 2¹¹ = 3685489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3687495 and 3687504.

It is not an unprimeable number, because it can be changed into a prime (3687557) 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, 883 + ... + 2855.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 2^3687537 is an apocalyptic number.

It is an amenable number.

3687537 is a deficient number, since it is larger than the sum of its proper divisors (1997583).

3687537 is a wasteful number, since it uses less digits than its factorization.

3687537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072.

The product of its digits is 105840, while the sum is 39.

The square root of 3687537 is about 1920.2960709224. The cubic root of 3687537 is about 154.4941818695.

It can be divided in two parts, 3687 and 537, that added together give a palindrome (4224).

The spelling of 3687537 in words is "three million, six hundred eighty-seven thousand, five hundred thirty-seven".