3630984864 has 192 divisors, whose sum is σ = 10693509120. Its totient is φ = 1071221760.

The previous prime is 3630984857. The next prime is 3630984869. The reversal of 3630984864 is 4684890363.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3630984869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4913007 + ... + 4913745.

It is an arithmetic number, because the mean of its divisors is an integer number (55695360).

Almost surely, 2^3630984864 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 3630984864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346754560).

3630984864 is an abundant number, since it is smaller than the sum of its proper divisors (7062524256).

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

3630984864 is a wasteful number, since it uses less digits than its factorization.

3630984864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The square root of 3630984864 is about 60257.6539868588. The cubic root of 3630984864 is about 1537.0033456456.

The spelling of 3630984864 in words is "three billion, six hundred thirty million, nine hundred eighty-four thousand, eight hundred sixty-four".