3630531321040 has 80 divisors (see below), whose sum is σ = 9103115019600. Its totient is φ = 1338612903936.

The previous prime is 3630531321029. The next prime is 3630531321041. The reversal of 3630531321040 is 401231350363.

It can be written as a sum of positive squares in 8 ways, for example, as 1747335009424 + 1883196311616 = 1321868^2 + 1372296^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×3630531321040⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3630531320993 and 3630531321011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630531321041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1724485 + ... + 3199204.

It is an arithmetic number, because the mean of its divisors is an integer number (113788937745).

Almost surely, 2^{3630531321040} is an apocalyptic number.

It is an amenable number.

3630531321040 is an abundant number, since it is smaller than the sum of its proper divisors (5472583698560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3630531321040 is a wasteful number, since it uses less digits than its factorization.

3630531321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924424 (or 4924418 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The spelling of 3630531321040 in words is "three trillion, six hundred thirty billion, five hundred thirty-one million, three hundred twenty-one thousand, forty".