3687968 has 12 divisors (see below), whose sum is σ = 7260750. Its totient is φ = 1843968.

The previous prime is 3687967. The next prime is 3687973. The reversal of 3687968 is 8697863.

It can be written as a sum of positive squares in only one way, i.e., 3429904 + 258064 = 1852^2 + 508^2 .

It is a super-2 number, since 2×3687968² = 27202215938048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3687967) 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 as a sum of consecutive naturals, namely, 57593 + ... + 57656.

Almost surely, 2^3687968 is an apocalyptic number.

It is an amenable number.

3687968 is a deficient number, since it is larger than the sum of its proper divisors (3572782).

3687968 is a wasteful number, since it uses less digits than its factorization.

3687968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115259 (or 115251 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 3687968 is about 1920.4082899217. The cubic root of 3687968 is about 154.5002007378.

The spelling of 3687968 in words is "three million, six hundred eighty-seven thousand, nine hundred sixty-eight".