4084352 has 32 divisors (see below), whose sum is σ = 8620020. Its totient is φ = 1921024.

The previous prime is 4084349. The next prime is 4084391. The reversal of 4084352 is 2534804.

It can be written as a sum of positive squares in 2 ways, for example, as 3904576 + 179776 = 1976^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 4⁴ + 0 + 8⁵ + 4⁵ + 3³ + 5⁹ + 2²¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1238 + ... + 3114.

Almost surely, 2^4084352 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 4084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310010).

4084352 is an abundant number, since it is smaller than the sum of its proper divisors (4535668).

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

4084352 is a wasteful number, since it uses less digits than its factorization.

4084352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4084352 is about 2020.9779810775. The cubic root of 4084352 is about 159.8481893384.

The spelling of 4084352 in words is "four million, eighty-four thousand, three hundred fifty-two".