3984430944 has 192 divisors, whose sum is σ = 11856789504. Its totient is φ = 1162377216.

The previous prime is 3984430909. The next prime is 3984430991. The reversal of 3984430944 is 4490344893.

It is a super-2 number, since 2×3984430944² = 31751379895009462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3984430893 and 3984430902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644862 + ... + 3645954.

It is an arithmetic number, because the mean of its divisors is an integer number (61754112).

Almost surely, 2^3984430944 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 3984430944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928394752).

3984430944 is an abundant number, since it is smaller than the sum of its proper divisors (7872358560).

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

3984430944 is a wasteful number, since it uses less digits than its factorization.

3984430944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 3984430944 is about 63122.3490057206. The cubic root of 3984430944 is about 1585.3388461102.

The spelling of 3984430944 in words is "three billion, nine hundred eighty-four million, four hundred thirty thousand, nine hundred forty-four".