3688537 has 2 divisors, whose sum is σ = 3688538. Its totient is φ = 3688536.

The previous prime is 3688519. The next prime is 3688543. The reversal of 3688537 is 7358863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3154176 + 534361 = 1776^2 + 731^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3688537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3688537.

It is not a weakly prime, because it can be changed into another prime (3688637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1844268 + 1844269.

It is an arithmetic number, because the mean of its divisors is an integer number (1844269).

Almost surely, 2^3688537 is an apocalyptic number.

It is an amenable number.

3688537 is a deficient number, since it is larger than the sum of its proper divisors (1).

3688537 is an equidigital number, since it uses as much as digits as its factorization.

3688537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 40.

The square root of 3688537 is about 1920.5564297880. The cubic root of 3688537 is about 154.5081460429.

It can be divided in two parts, 3688 and 537, that added together give a square (4225 = 65²).

The spelling of 3688537 in words is "three million, six hundred eighty-eight thousand, five hundred thirty-seven".