4332384 has 108 divisors (see below), whose sum is σ = 14378364. Its totient is φ = 1233792.

The previous prime is 4332371. The next prime is 4332389. The reversal of 4332384 is 4832334.

4332384 = T₂₄₇ + T₂₄₈ + ... + T₃₄₄.

It is a super-2 number, since 2×4332384² = 37539102246912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332389) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13959 + ... + 14265.

It is an arithmetic number, because the mean of its divisors is an integer number (133133).

Almost surely, 2^4332384 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 4332384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189182).

4332384 is an abundant number, since it is smaller than the sum of its proper divisors (10045980).

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

4332384 is a wasteful number, since it uses less digits than its factorization.

4332384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4332384 is about 2081.4379644851. The cubic root of 4332384 is about 163.0205351322.

The spelling of 4332384 in words is "four million, three hundred thirty-two thousand, three hundred eighty-four".