3630506560 has 56 divisors (see below), whose sum is σ = 8650818360. Its totient is φ = 1451249664.

The previous prime is 3630506521. The next prime is 3630506573. The reversal of 3630506560 is 656050363.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 375119424 + 3255387136 = 19368^2 + 57056^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681186 + ... + 686494.

Almost surely, 2^3630506560 is an apocalyptic number.

It is an amenable number.

3630506560 is an abundant number, since it is smaller than the sum of its proper divisors (5020311800).

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

3630506560 is a wasteful number, since it uses less digits than its factorization.

3630506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463 (or 7453 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 34.

The square root of 3630506560 is about 60253.6850325356. The cubic root of 3630506560 is about 1536.9358536603.

The spelling of 3630506560 in words is "three billion, six hundred thirty million, five hundred six thousand, five hundred sixty".