3895632225 has 135 divisors (see below), whose sum is σ = 7721594793. Its totient is φ = 1941356160.

The previous prime is 3895632193. The next prime is 3895632241. The reversal of 3895632225 is 5222365983.

The square root of 3895632225 is 62415.

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

3895632225 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 632 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21316689 + 3874315536 = 4617^2 + 62244^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3895632225 - 2⁵ = 3895632193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (777600) is a multiple of the sum of its prime divisors (100).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 53364789 + ... + 53364861.

Almost surely, 2^3895632225 is an apocalyptic number.

3895632225 is the 62415-th square number.

3895632225 is the 31208-th centered octagonal number.

It is an amenable number.

3895632225 is a deficient number, since it is larger than the sum of its proper divisors (3825962568).

3895632225 is an equidigital number, since it uses as much as digits as its factorization.

3895632225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 100 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The cubic root of 3895632225 is about 1573.4730779899.

The spelling of 3895632225 in words is "three billion, eight hundred ninety-five million, six hundred thirty-two thousand, two hundred twenty-five".