3724313303104 has 63 divisors (see below), whose sum is σ = 7444965822637. Its totient is φ = 1848516485888.

The previous prime is 3724313303047. The next prime is 3724313303129. The reversal of 3724313303104 is 4013033134273.

The square root of 3724313303104 is 1929848.

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., 436328944704 + 3287984358400 = 660552^2 + 1813280^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3724313303104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2300378007 + ... + 2300379625.

Almost surely, 2^{3724313303104} is an apocalyptic number.

3724313303104 is the 1929848-th square number.

It is an amenable number.

3724313303104 is a deficient number, since it is larger than the sum of its proper divisors (3720652519533).

3724313303104 is an frugal number, since it uses more digits than its factorization.

3724313303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 34.

Adding to 3724313303104 its reverse (4013033134273), we get a palindrome (7737346437377).

The spelling of 3724313303104 in words is "three trillion, seven hundred twenty-four billion, three hundred thirteen million, three hundred three thousand, one hundred four".