3989432160 has 576 divisors, whose sum is σ = 17028071424. Its totient is φ = 829440000.

The previous prime is 3989432137. The next prime is 3989432171. The reversal of 3989432160 is 612349893.

It is a happy number.

3989432160 is a `hidden beast` number, since 398 + 9 + 43 + 216 + 0 = 666.

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, 5311785 + ... + 5312535.

It is an arithmetic number, because the mean of its divisors is an integer number (29562624).

Almost surely, 2^3989432160 is an apocalyptic number.

3989432160 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 3989432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8514035712).

3989432160 is an abundant number, since it is smaller than the sum of its proper divisors (13038639264).

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

3989432160 is a wasteful number, since it uses less digits than its factorization.

3989432160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3989432160 is about 63161.9518381122. The cubic root of 3989432160 is about 1586.0018690209.

The spelling of 3989432160 in words is "three billion, nine hundred eighty-nine million, four hundred thirty-two thousand, one hundred sixty".