3989676960 has 288 divisors, whose sum is σ = 14605194240. Its totient is φ = 988176384.

The previous prime is 3989676917. The next prime is 3989676961. The reversal of 3989676960 is 696769893.

3989676960 is a `hidden beast` number, since 398 + 96 + 76 + 96 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3989676961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1932889 + ... + 1934951.

It is an arithmetic number, because the mean of its divisors is an integer number (50712480).

Almost surely, 2^3989676960 is an apocalyptic number.

3989676960 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 3989676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302597120).

3989676960 is an abundant number, since it is smaller than the sum of its proper divisors (10615517280).

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

3989676960 is a wasteful number, since it uses less digits than its factorization.

3989676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The square root of 3989676960 is about 63163.8896839009. The cubic root of 3989676960 is about 1586.0343085011.

The spelling of 3989676960 in words is "three billion, nine hundred eighty-nine million, six hundred seventy-six thousand, nine hundred sixty".