3904651088361 has 27 divisors (see below), whose sum is σ = 5952691513821. Its totient is φ = 2466024287544.

The previous prime is 3904651088287. The next prime is 3904651088369. The reversal of 3904651088361 is 1638801564093.

The square root of 3904651088361 is 1976019.

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

3904651088361 is a `hidden beast` number, since 3 + 9 + 0 + 46 + 510 + 8 + 83 + 6 + 1 = 666.

It is not a de Polignac number, because 3904651088361 - 2⁹ = 3904651087849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3904651088298 and 3904651088307.

It is not an unprimeable number, because it can be changed into a prime (3904651088369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112615750 + ... + 112650416.

Almost surely, 2^{3904651088361} is an apocalyptic number.

3904651088361 is the 1976019-th square number.

3904651088361 is the 988010-th centered octagonal number.

It is an amenable number.

3904651088361 is a deficient number, since it is larger than the sum of its proper divisors (2048040425460).

3904651088361 is an frugal number, since it uses more digits than its factorization.

3904651088361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69378 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3904651088361 in words is "three trillion, nine hundred four billion, six hundred fifty-one million, eighty-eight thousand, three hundred sixty-one".