4345824 has 96 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1193472.

The previous prime is 4345819. The next prime is 4345837. The reversal of 4345824 is 4285434.

4345824 is digitally balanced in base 5, 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 (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 4³ + 3⁹ + 4³ + 5³ + 8³ + 2¹⁷ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 4345791 and 4345800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19377 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 2^4345824 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 4345824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

4345824 is an abundant number, since it is smaller than the sum of its proper divisors (9201696).

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

4345824 is a wasteful number, since it uses less digits than its factorization.

4345824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 4345824 is about 2084.6640017039. The cubic root of 4345824 is about 163.1889361973.

The spelling of 4345824 in words is "four million, three hundred forty-five thousand, eight hundred twenty-four".