3984664320 has 864 divisors, whose sum is σ = 17811743040. Its totient is φ = 836075520.

The previous prime is 3984664319. The next prime is 3984664373. The reversal of 3984664320 is 234664893.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 22014630 + ... + 22014810.

Almost surely, 2^3984664320 is an apocalyptic number.

3984664320 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 3984664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905871520).

3984664320 is an abundant number, since it is smaller than the sum of its proper divisors (13827078720).

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

3984664320 is a wasteful number, since it uses less digits than its factorization.

3984664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3984664320 is about 63124.1975790584. The cubic root of 3984664320 is about 1585.3697976497.

The spelling of 3984664320 in words is "three billion, nine hundred eighty-four million, six hundred sixty-four thousand, three hundred twenty".