38438904 has 128 divisors (see below), whose sum is σ = 119370240. Its totient is φ = 10063872.

The previous prime is 38438899. The next prime is 38438923. The reversal of 38438904 is 40983483.

38438904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122652 + ... + 122964.

It is an arithmetic number, because the mean of its divisors is an integer number (932580).

Almost surely, 2^38438904 is an apocalyptic number.

38438904 is a gapful number since it is divisible by the number (34) 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 38438904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59685120).

38438904 is an abundant number, since it is smaller than the sum of its proper divisors (80931336).

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

38438904 is a wasteful number, since it uses less digits than its factorization.

38438904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 38438904 is about 6199.9116122732. The cubic root of 38438904 is about 337.4869613619.

The spelling of 38438904 in words is "thirty-eight million, four hundred thirty-eight thousand, nine hundred four".