4138368 has 64 divisors (see below), whose sum is σ = 11852400. Its totient is φ = 1271808.

The previous prime is 4138349. The next prime is 4138369. The reversal of 4138368 is 8638314.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4578 + ... + 5406.

Almost surely, 2^4138368 is an apocalyptic number.

4138368 is a gapful number since it is divisible by the number (48) 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 4138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926200).

4138368 is an abundant number, since it is smaller than the sum of its proper divisors (7714032).

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

4138368 is a wasteful number, since it uses less digits than its factorization.

4138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 4138368 is about 2034.2979132861. The cubic root of 4138368 is about 160.5497754216.

The spelling of 4138368 in words is "four million, one hundred thirty-eight thousand, three hundred sixty-eight".