3683516724001 has 45 divisors (see below), whose sum is σ = 4071121250781. Its totient is φ = 3332676087552.

The previous prime is 3683516723983. The next prime is 3683516724071. The reversal of 3683516724001 is 1004276153863.

The square root of 3683516724001 is 1919249.

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

It can be written as a sum of positive squares in 22 ways, for example, as 654803021601 + 3028713702400 = 809199^2 + 1740320^2 .

It is not a de Polignac number, because 3683516724001 - 2⁹ = 3683516723489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3683516724071) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16085225755 + ... + 16085225983.

Almost surely, 2^{3683516724001} is an apocalyptic number.

3683516724001 is the 1919249-th square number.

3683516724001 is the 959625-th centered octagonal number.

It is an amenable number.

3683516724001 is a deficient number, since it is larger than the sum of its proper divisors (387604526780).

3683516724001 is an frugal number, since it uses more digits than its factorization.

3683516724001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

It can be divided in two parts, 36835 and 16724001, that added together give a square (16760836 = 4094²).

The spelling of 3683516724001 in words is "three trillion, six hundred eighty-three billion, five hundred sixteen million, seven hundred twenty-four thousand, one".