3625824 has 48 divisors (see below), whose sum is σ = 9616320. Its totient is φ = 1196160.

The previous prime is 3625813. The next prime is 3625829. The reversal of 3625824 is 4285263.

3625824 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 3625791 and 3625800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625829) 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 7 ways as a sum of consecutive naturals, for example, 17079 + ... + 17289.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 2^3625824 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 3625824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808160).

3625824 is an abundant number, since it is smaller than the sum of its proper divisors (5990496).

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

3625824 is a wasteful number, since it uses less digits than its factorization.

3625824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 3625824 is about 1904.1596571716. The cubic root of 3625824 is about 153.6274798924.

The spelling of 3625824 in words is "three million, six hundred twenty-five thousand, eight hundred twenty-four".