38441088 has 192 divisors, whose sum is σ = 132559200. Its totient is φ = 10934784.

The previous prime is 38441083. The next prime is 38441093. The reversal of 38441088 is 88014483.

It is an interprime number because it is at equal distance from previous prime (38441083) and next prime (38441093).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38441083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169231 + ... + 169457.

Almost surely, 2^38441088 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 38441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66279600).

38441088 is an abundant number, since it is smaller than the sum of its proper divisors (94118112).

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

38441088 is a wasteful number, since it uses less digits than its factorization.

38441088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 38441088 is about 6200.0877413146. The cubic root of 38441088 is about 337.4933529555.

The spelling of 38441088 in words is "thirty-eight million, four hundred forty-one thousand, eighty-eight".