4129984 has 28 divisors (see below), whose sum is σ = 8375904. Its totient is φ = 2019584.

The previous prime is 4129981. The next prime is 4129987. The reversal of 4129984 is 4899214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4129981) and next prime (4129987).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4129981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2322 + ... + 3694.

Almost surely, 2^4129984 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 4129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187952).

4129984 is an abundant number, since it is smaller than the sum of its proper divisors (4245920).

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

4129984 is a wasteful number, since it uses less digits than its factorization.

4129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 4129984 is about 2032.2362067437. The cubic root of 4129984 is about 160.4412818208.

The spelling of 4129984 in words is "four million, one hundred twenty-nine thousand, nine hundred eighty-four".