3630964549081 has 27 divisors (see below), whose sum is σ = 3740822989911. Its totient is φ = 3524307493824.

The previous prime is 3630964548917. The next prime is 3630964549087. The reversal of 3630964549081 is 1809454690363.

The square root of 3630964549081 is 1905509.

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

It can be written as a sum of positive squares in 13 ways, for example, as 221550017481 + 3409414531600 = 470691^2 + 1846460^2 .

It is not a de Polignac number, because 3630964549081 - 2⁹ = 3630964548569 is a prime.

It is a super-2 number, since 2×3630964549081² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3630964549087) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15855740275 + ... + 15855740503.

Almost surely, 2^{3630964549081} is an apocalyptic number.

3630964549081 is the 1905509-th square number.

3630964549081 is the 952755-th centered octagonal number.

It is an amenable number.

3630964549081 is a deficient number, since it is larger than the sum of its proper divisors (109858440830).

3630964549081 is an frugal number, since it uses more digits than its factorization.

3630964549081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 3630964549081 in words is "three trillion, six hundred thirty billion, nine hundred sixty-four million, five hundred forty-nine thousand, eighty-one".