3665788890625 has 105 divisors (see below), whose sum is σ = 4962152948473. Its totient is φ = 2708045600000.

The previous prime is 3665788890473. The next prime is 3665788890637. The reversal of 3665788890625 is 5260988875663.

The square root of 3665788890625 is 1914625.

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

It can be written as a sum of positive squares in 52 ways, for example, as 540191190529 + 3125597700096 = 734977^2 + 1767936^2 .

It is not a de Polignac number, because 3665788890625 - 2¹³ = 3665788882433 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 (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 69165828099 + ... + 69165828151.

Almost surely, 2^{3665788890625} is an apocalyptic number.

3665788890625 is the 1914625-th square number.

3665788890625 is the 957313-rd centered octagonal number.

It is an amenable number.

3665788890625 is a deficient number, since it is larger than the sum of its proper divisors (1296364057848).

3665788890625 is an frugal number, since it uses more digits than its factorization.

3665788890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 73.

The spelling of 3665788890625 in words is "three trillion, six hundred sixty-five billion, seven hundred eighty-eight million, eight hundred ninety thousand, six hundred twenty-five".