3739315580361 has 45 divisors (see below), whose sum is σ = 5741930273079. Its totient is φ = 2425084312176.

The previous prime is 3739315580359. The next prime is 3739315580411. The reversal of 3739315580361 is 1630855139373.

The square root of 3739315580361 is 1933731.

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

3739315580361 is a `hidden beast` number, since 3 + 73 + 93 + 1 + 55 + 80 + 361 = 666.

3739315580361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3345990932025 + 393324648336 = 1829205^2 + 627156^2 .

It is not a de Polignac number, because 3739315580361 - 2¹ = 3739315580359 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3739315580298 and 3739315580307.

It is not an unprimeable number, because it can be changed into a prime (3739315580461) 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, 643929520 + ... + 643935326.

Almost surely, 2^{3739315580361} is an apocalyptic number.

3739315580361 is the 1933731-st square number.

3739315580361 is the 966866-th centered octagonal number.

It is an amenable number.

3739315580361 is a deficient number, since it is larger than the sum of its proper divisors (2002614692718).

3739315580361 is an frugal number, since it uses more digits than its factorization.

3739315580361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 3739315580361 in words is "three trillion, seven hundred thirty-nine billion, three hundred fifteen million, five hundred eighty thousand, three hundred sixty-one".