3761982225 has 135 divisors (see below), whose sum is σ = 7373892097. Its totient is φ = 1895987520.

The previous prime is 3761982223. The next prime is 3761982233. The reversal of 3761982225 is 5222891673.

The square root of 3761982225 is 61335.

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

3761982225 is a `hidden beast` number, since 3 + 7 + 619 + 8 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51710481 + 3710271744 = 7191^2 + 60912^2 .

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

It is not a de Polignac number, because 3761982225 - 2¹ = 3761982223 is a prime.

It is a super-2 number, since 2×3761982225² = 28305020522431901250, which contains 22 as substring.

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

It is a Duffinian number.

Its product of digits (362880) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (3761982223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 80042152 + ... + 80042198.

Almost surely, 2^3761982225 is an apocalyptic number.

3761982225 is the 61335-th square number.

3761982225 is the 30668-th centered octagonal number.

It is an amenable number.

3761982225 is a deficient number, since it is larger than the sum of its proper divisors (3611909872).

3761982225 is an equidigital number, since it uses as much as digits as its factorization.

3761982225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 84 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The cubic root of 3761982225 is about 1555.2692296178.

The spelling of 3761982225 in words is "three billion, seven hundred sixty-one million, nine hundred eighty-two thousand, two hundred twenty-five".