3902675319361 has 81 divisors (see below), whose sum is σ = 5226203760219. Its totient is φ = 2903918105088.

The previous prime is 3902675319317. The next prime is 3902675319379. The reversal of 3902675319361 is 1639135762093.

The square root of 3902675319361 is 1975519.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1700585524225 + 2202089795136 = 1304065^2 + 1483944^2 .

It is not a de Polignac number, because 3902675319361 - 2⁷ = 3902675319233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3902675319391) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3056127255 + ... + 3056128531.

Almost surely, 2^{3902675319361} is an apocalyptic number.

3902675319361 is the 1975519-th square number.

3902675319361 is the 987760-th centered octagonal number.

It is an amenable number.

3902675319361 is a deficient number, since it is larger than the sum of its proper divisors (1323528440858).

3902675319361 is an equidigital number, since it uses as much as digits as its factorization.

3902675319361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 55.

The spelling of 3902675319361 in words is "three trillion, nine hundred two billion, six hundred seventy-five million, three hundred nineteen thousand, three hundred sixty-one".