3817386225 has 45 divisors (see below), whose sum is σ = 7076272753. Its totient is φ = 2034456480.

The previous prime is 3817386217. The next prime is 3817386229. The reversal of 3817386225 is 5226837183.

The square root of 3817386225 is 61785.

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

3817386225 is a `hidden beast` number, since 3 + 8 + 17 + 3 + 8 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 993951729 + 2823434496 = 31527^2 + 53136^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3817386225 - 2³ = 3817386217 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3817386229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2779639 + ... + 2781011.

Almost surely, 2^3817386225 is an apocalyptic number.

3817386225 is the 61785-th square number.

3817386225 is the 30893-rd centered octagonal number.

It is an amenable number.

3817386225 is a deficient number, since it is larger than the sum of its proper divisors (3258886528).

3817386225 is an frugal number, since it uses more digits than its factorization.

3817386225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 1381 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The cubic root of 3817386225 is about 1562.8670463572.

The spelling of 3817386225 in words is "three billion, eight hundred seventeen million, three hundred eighty-six thousand, two hundred twenty-five".