3664613405124 has 135 divisors (see below), whose sum is σ = 11144842305597. Its totient is φ = 1046963486016.

The previous prime is 3664613405111. The next prime is 3664613405147. The reversal of 3664613405124 is 4215043164663.

The square root of 3664613405124 is 1914318.

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

3664613405124 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 613 + 4 + 0 + 5 + 1 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3603125276100 + 61488129024 = 1898190^2 + 247968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3664613405124.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 241196472 + ... + 241211664.

Almost surely, 2^{3664613405124} is an apocalyptic number.

3664613405124 is the 1914318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664613405124

3664613405124 is an abundant number, since it is smaller than the sum of its proper divisors (7480228900473).

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

3664613405124 is an frugal number, since it uses more digits than its factorization.

3664613405124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30416 (or 15205 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 3664613405124 its reverse (4215043164663), we get a palindrome (7879656569787).

The spelling of 3664613405124 in words is "three trillion, six hundred sixty-four billion, six hundred thirteen million, four hundred five thousand, one hundred twenty-four".