3583872 has 128 divisors (see below), whose sum is σ = 11383200. Its totient is φ = 1105920.

The previous prime is 3583871. The next prime is 3583903. The reversal of 3583872 is 2783853.

3583872 is a `hidden beast` number, since 3 + 583 + 8 + 72 = 666.

3583872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3³ + 5³ + 8³ + 3¹² + 8⁷ + 7⁷ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3583871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58722 + ... + 58782.

Almost surely, 2^3583872 is an apocalyptic number.

3583872 is a gapful number since it is divisible by the number (32) 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 3583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691600).

3583872 is an abundant number, since it is smaller than the sum of its proper divisors (7799328).

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

3583872 is a wasteful number, since it uses less digits than its factorization.

3583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3583872 is about 1893.1117241198. Note that the first 3 decimals coincide. The cubic root of 3583872 is about 153.0326727609.

The spelling of 3583872 in words is "three million, five hundred eighty-three thousand, eight hundred seventy-two".