3205621680625 has 135 divisors (see below), whose sum is σ = 5052177837927. Its totient is φ = 2026474632000.

The previous prime is 3205621680619. The next prime is 3205621680631. The reversal of 3205621680625 is 5260861265023.

The square root of 3205621680625 is 1790425.

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

It is an interprime number because it is at equal distance from previous prime (3205621680619) and next prime (3205621680631).

It can be written as a sum of positive squares in 7 ways, for example, as 3166289271649 + 39332408976 = 1779407^2 + 198324^2 .

It is not a de Polignac number, because 3205621680625 - 2⁵ = 3205621680593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4073216482 + ... + 4073217268.

Almost surely, 2^{3205621680625} is an apocalyptic number.

3205621680625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3205621680625 is the 1790425-th square number.

3205621680625 is the 895213-rd centered octagonal number.

It is an amenable number.

3205621680625 is a deficient number, since it is larger than the sum of its proper divisors (1846556157302).

3205621680625 is an frugal number, since it uses more digits than its factorization.

3205621680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 3205621680625 in words is "three trillion, two hundred five billion, six hundred twenty-one million, six hundred eighty thousand, six hundred twenty-five".