4677344 has 72 divisors (see below), whose sum is σ = 11347560. Its totient is φ = 1886976.

The previous prime is 4677341. The next prime is 4677359. The reversal of 4677344 is 4437764.

4677344 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

4677344 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29714 + ... + 29870.

It is an arithmetic number, because the mean of its divisors is an integer number (157605).

Almost surely, 2^4677344 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 4677344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673780).

4677344 is an abundant number, since it is smaller than the sum of its proper divisors (6670216).

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

4677344 is a wasteful number, since it uses less digits than its factorization.

4677344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its digits is 56448, while the sum is 35.

The square root of 4677344 is about 2162.7168099407. The cubic root of 4677344 is about 167.2372832618.

The spelling of 4677344 in words is "four million, six hundred seventy-seven thousand, three hundred forty-four".