3687940 has 24 divisors (see below), whose sum is σ = 7828632. Its totient is φ = 1459200.

The previous prime is 3687923. The next prime is 3687941. The reversal of 3687940 is 497863.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 3678724 = 96^2 + 1918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3687940.

It is not an unprimeable number, because it can be changed into a prime (3687941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990 + ... + 2890.

It is an arithmetic number, because the mean of its divisors is an integer number (326193).

Almost surely, 2^3687940 is an apocalyptic number.

It is an amenable number.

3687940 is an abundant number, since it is smaller than the sum of its proper divisors (4140692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3687940 is a wasteful number, since it uses less digits than its factorization.

3687940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3687940 is about 1920.4009997914. The cubic root of 3687940 is about 154.4998097350.

The spelling of 3687940 in words is "three million, six hundred eighty-seven thousand, nine hundred forty".