3630631680 has 288 divisors, whose sum is σ = 13876470720. Its totient is φ = 893583360.

The previous prime is 3630631679. The next prime is 3630631691. The reversal of 3630631680 is 861360363.

3630631680 is a `hidden beast` number, since 3 + 630 + 6 + 3 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445240 + ... + 453320.

It is an arithmetic number, because the mean of its divisors is an integer number (48182190).

Almost surely, 2^3630631680 is an apocalyptic number.

3630631680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938235360).

3630631680 is an abundant number, since it is smaller than the sum of its proper divisors (10245839040).

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

3630631680 is a wasteful number, since it uses less digits than its factorization.

3630631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8124 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3630631680 is about 60254.7233003356. The cubic root of 3630631680 is about 1536.9535095257.

The spelling of 3630631680 in words is "three billion, six hundred thirty million, six hundred thirty-one thousand, six hundred eighty".