4031984 has 40 divisors (see below), whose sum is σ = 8808960. Its totient is φ = 1771200.

The previous prime is 4031977. The next prime is 4031987. The reversal of 4031984 is 4891304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5087 + ... + 5825.

It is an arithmetic number, because the mean of its divisors is an integer number (220224).

Almost surely, 2^4031984 is an apocalyptic number.

4031984 is a gapful number since it is divisible by the number (44) 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 4031984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404480).

4031984 is an abundant number, since it is smaller than the sum of its proper divisors (4776976).

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

4031984 is a wasteful number, since it uses less digits than its factorization.

4031984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4031984 is about 2007.9800795825. The cubic root of 4031984 is about 159.1620777834.

The spelling of 4031984 in words is "four million, thirty-one thousand, nine hundred eighty-four".