3666949245184 has 81 divisors (see below), whose sum is σ = 7582514301817. Its totient is φ = 1769822415872.

The previous prime is 3666949245173. The next prime is 3666949245203. The reversal of 3666949245184 is 4815429496663.

The square root of 3666949245184 is 1914928.

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

It can be written as a sum of positive squares in only one way, i.e., 1922859235584 + 1744090009600 = 1386672^2 + 1320640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 888524529 + ... + 888528655.

Almost surely, 2^{3666949245184} is an apocalyptic number.

3666949245184 is the 1914928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666949245184

3666949245184 is an abundant number, since it is smaller than the sum of its proper divisors (3915565056633).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3666949245184 is an frugal number, since it uses more digits than its factorization.

3666949245184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 4158 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 67.

The spelling of 3666949245184 in words is "three trillion, six hundred sixty-six billion, nine hundred forty-nine million, two hundred forty-five thousand, one hundred eighty-four".