3664206405 has 24 divisors (see below), whose sum is σ = 6570303480. Its totient is φ = 1886855040.

The previous prime is 3664206397. The next prime is 3664206421. The reversal of 3664206405 is 5046024663.

3664206405 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 2 + 0 + 640 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4198401 + 3660008004 = 2049^2 + 60498^2 .

It is not a de Polignac number, because 3664206405 - 2³ = 3664206397 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3664206405.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1402606 + ... + 1405215.

It is an arithmetic number, because the mean of its divisors is an integer number (273762645).

Almost surely, 2^3664206405 is an apocalyptic number.

It is an amenable number.

3664206405 is a deficient number, since it is larger than the sum of its proper divisors (2906097075).

3664206405 is a wasteful number, since it uses less digits than its factorization.

3664206405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807861 (or 2807858 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3664206405 is about 60532.6887309658. The cubic root of 3664206405 is about 1541.6767037606.

The spelling of 3664206405 in words is "three billion, six hundred sixty-four million, two hundred six thousand, four hundred five".