3630484480 has 264 divisors, whose sum is σ = 10501110000. Its totient is φ = 1199407104.

The previous prime is 3630484469. The next prime is 3630484541. The reversal of 3630484480 is 844840363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7275271 + ... + 7275769.

Almost surely, 2^3630484480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250555000).

3630484480 is an abundant number, since it is smaller than the sum of its proper divisors (6870625520).

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

3630484480 is a wasteful number, since it uses less digits than its factorization.

3630484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 3630484480 is about 60253.5018069489. The cubic root of 3630484480 is about 1536.9327378773.

The spelling of 3630484480 in words is "three billion, six hundred thirty million, four hundred eighty-four thousand, four hundred eighty".