3663984320 has 112 divisors (see below), whose sum is σ = 9267078240. Its totient is φ = 1375911936.

The previous prime is 3663984319. The next prime is 3663984343. The reversal of 3663984320 is 234893663.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684374 + ... + 689706.

It is an arithmetic number, because the mean of its divisors is an integer number (82741770).

Almost surely, 2^3663984320 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 3663984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633539120).

3663984320 is an abundant number, since it is smaller than the sum of its proper divisors (5603093920).

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

3663984320 is a wasteful number, since it uses less digits than its factorization.

3663984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The square root of 3663984320 is about 60530.8542811020. The cubic root of 3663984320 is about 1541.6455564807.

The spelling of 3663984320 in words is "three billion, six hundred sixty-three million, nine hundred eighty-four thousand, three hundred twenty".