4138632 has 48 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 1349088.

The previous prime is 4138627. The next prime is 4138649. The reversal of 4138632 is 2368314.

It is a happy number.

4138632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4138596 and 4138605.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2773 + ... + 3995.

It is an arithmetic number, because the mean of its divisors is an integer number (238680).

Almost surely, 2^4138632 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 4138632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320).

4138632 is an abundant number, since it is smaller than the sum of its proper divisors (7318008).

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

4138632 is a wasteful number, since it uses less digits than its factorization.

4138632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1275 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4138632 is about 2034.3627995026. The cubic root of 4138632 is about 160.5531893471.

It can be divided in two parts, 413 and 8632, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 4138632 in words is "four million, one hundred thirty-eight thousand, six hundred thirty-two".