3688731248449 has 9 divisors (see below), whose sum is σ = 3994333654563. Its totient is φ = 3404959643592.

The previous prime is 3688731248443. The next prime is 3688731248467. The reversal of 3688731248449 is 9448421378863.

The square root of 3688731248449 is 1920607.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 545670303025 + 3143060945424 = 738695^2 + 1772868^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3688731248449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3688731248443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24894022 + ... + 25041760.

It is an arithmetic number, because the mean of its divisors is an integer number (443814850507).

Almost surely, 2^{3688731248449} is an apocalyptic number.

3688731248449 is the 1920607-th square number.

3688731248449 is the 960304-th centered octagonal number.

It is an amenable number.

3688731248449 is a deficient number, since it is larger than the sum of its proper divisors (305602406114).

3688731248449 is an frugal number, since it uses more digits than its factorization.

3688731248449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295504 (or 147752 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 67.

It can be divided in two parts, 3688 and 731248449, that added together give a palindrome (731252137).

The spelling of 3688731248449 in words is "three trillion, six hundred eighty-eight billion, seven hundred thirty-one million, two hundred forty-eight thousand, four hundred forty-nine".