3310394663601 has 63 divisors (see below), whose sum is σ = 5032843782939. Its totient is φ = 2176439449392.

The previous prime is 3310394663557. The next prime is 3310394663657. The reversal of 3310394663601 is 1063664930133.

The square root of 3310394663601 is 1819449.

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

3310394663601 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 3 + 9 + 4 + 6 + 636 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191200680225 + 3119193983376 = 437265^2 + 1766124^2 .

It is not a de Polignac number, because 3310394663601 - 2¹⁹ = 3310394139313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3310394663101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3880884291 + ... + 3880885143.

It is an arithmetic number, because the mean of its divisors is an integer number (79886409253).

Almost surely, 2^{3310394663601} is an apocalyptic number.

3310394663601 is the 1819449-th square number.

3310394663601 is the 909725-th centered octagonal number.

It is an amenable number.

3310394663601 is a deficient number, since it is larger than the sum of its proper divisors (1722449119338).

3310394663601 is an frugal number, since it uses more digits than its factorization.

3310394663601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 3310394663601 in words is "three trillion, three hundred ten billion, three hundred ninety-four million, six hundred sixty-three thousand, six hundred one".