3630331947649 has 81 divisors (see below), whose sum is σ = 4441238051299. Its totient is φ = 2964408853120.

The previous prime is 3630331947637. The next prime is 3630331947659. The reversal of 3630331947649 is 9467491330363.

The square root of 3630331947649 is 1905343.

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

3630331947649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2826383004225 + 803948943424 = 1681185^2 + 896632^2 .

It is not a de Polignac number, because 3630331947649 - 2²⁵ = 3630298393217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3630331947593 and 3630331947602.

It is not an unprimeable number, because it can be changed into a prime (3630331947659) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 8194880022 + ... + 8194880464.

Almost surely, 2^{3630331947649} is an apocalyptic number.

3630331947649 is the 1905343-rd square number.

3630331947649 is the 952672-nd centered octagonal number.

It is an amenable number.

3630331947649 is a deficient number, since it is larger than the sum of its proper divisors (810906103650).

3630331947649 is an equidigital number, since it uses as much as digits as its factorization.

3630331947649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 58.

The spelling of 3630331947649 in words is "three trillion, six hundred thirty billion, three hundred thirty-one million, nine hundred forty-seven thousand, six hundred forty-nine".