38404608 has 80 divisors (see below), whose sum is σ = 111662496. Its totient is φ = 11632640.

The previous prime is 38404607. The next prime is 38404609. The reversal of 38404608 is 80640483.

It is an interprime number because it is at equal distance from previous prime (38404607) and next prime (38404609).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (38404603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15760 + ... + 18032.

Almost surely, 2^38404608 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 38404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55831248).

38404608 is an abundant number, since it is smaller than the sum of its proper divisors (73257888).

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

38404608 is a wasteful number, since it uses less digits than its factorization.

38404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38404608 is about 6197.1451491796. The cubic root of 38404608 is about 337.3865605036.

It can be divided in two parts, 3840 and 4608, that added together give a palindrome (8448).

The spelling of 38404608 in words is "thirty-eight million, four hundred four thousand, six hundred eight".