41638032 has 120 divisors (see below), whose sum is σ = 125610264. Its totient is φ = 12828672.

The previous prime is 41638007. The next prime is 41638067. The reversal of 41638032 is 23083614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 34857216 = 2604^2 + 5904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41637987 and 41638005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178588 + ... + 178820.

Almost surely, 2^41638032 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 41638032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62805132).

41638032 is an abundant number, since it is smaller than the sum of its proper divisors (83972232).

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

41638032 is a wasteful number, since it uses less digits than its factorization.

41638032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

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

The square root of 41638032 is about 6452.7538307299. The cubic root of 41638032 is about 346.6012022999.

The spelling of 41638032 in words is "forty-one million, six hundred thirty-eight thousand, thirty-two".