3630888144 has 480 divisors, whose sum is σ = 12349209600. Its totient is φ = 985374720.

The previous prime is 3630888139. The next prime is 3630888161. The reversal of 3630888144 is 4418880363.

3630888144 is a `hidden beast` number, since 3 + 630 + 8 + 8 + 8 + 1 + 4 + 4 = 666.

3630888144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3630888144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40796452 + ... + 40796540.

It is an arithmetic number, because the mean of its divisors is an integer number (25727520).

Almost surely, 2^3630888144 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 3630888144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174604800).

3630888144 is an abundant number, since it is smaller than the sum of its proper divisors (8718321456).

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

3630888144 is a wasteful number, since it uses less digits than its factorization.

3630888144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3630888144 is about 60256.8514278667. The cubic root of 3630888144 is about 1536.9896982663.

The spelling of 3630888144 in words is "three billion, six hundred thirty million, eight hundred eighty-eight thousand, one hundred forty-four".