4138344 has 192 divisors, whose sum is σ = 14774400. Its totient is φ = 1064448.

The previous prime is 4138331. The next prime is 4138349. The reversal of 4138344 is 4438314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (4138349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179917 + ... + 179939.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

Almost surely, 2^4138344 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 4138344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387200).

4138344 is an abundant number, since it is smaller than the sum of its proper divisors (10636056).

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

4138344 is a wasteful number, since it uses less digits than its factorization.

4138344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4138344 is about 2034.2920144365. The cubic root of 4138344 is about 160.5494650576.

The spelling of 4138344 in words is "four million, one hundred thirty-eight thousand, three hundred forty-four".