3684407309361 has 27 divisors (see below), whose sum is σ = 5512014127659. Its totient is φ = 2371465030032.

The previous prime is 3684407309329. The next prime is 3684407309371. The reversal of 3684407309361 is 1639037044863.

It is a happy number.

The square root of 3684407309361 is 1919481.

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

3684407309361 is a `hidden beast` number, since 3 + 68 + 4 + 407 + 30 + 93 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1932013820961 + 1752393488400 = 1389969^2 + 1323780^2 .

It is not a de Polignac number, because 3684407309361 - 2⁵ = 3684407309329 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3684407309298 and 3684407309307.

It is not an unprimeable number, because it can be changed into a prime (3684407309311) 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, 166983816 + ... + 167005878.

Almost surely, 2^{3684407309361} is an apocalyptic number.

3684407309361 is the 1919481-st square number.

3684407309361 is the 959741-st centered octagonal number.

It is an amenable number.

3684407309361 is a deficient number, since it is larger than the sum of its proper divisors (1827606818298).

3684407309361 is an frugal number, since it uses more digits than its factorization.

3684407309361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44190 (or 22095 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3684407309361 in words is "three trillion, six hundred eighty-four billion, four hundred seven million, three hundred nine thousand, three hundred sixty-one".