38042844 has 48 divisors (see below), whose sum is σ = 102455808. Its totient is φ = 10761408.

The previous prime is 38042839. The next prime is 38042857. The reversal of 38042844 is 44824083.

38042844 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 15 ways as a sum of consecutive naturals, for example, 6454 + ... + 10850.

It is an arithmetic number, because the mean of its divisors is an integer number (2134496).

Almost surely, 2^38042844 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 38042844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51227904).

38042844 is an abundant number, since it is smaller than the sum of its proper divisors (64412964).

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

38042844 is a wasteful number, since it uses less digits than its factorization.

38042844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 38042844 is about 6167.8881312812. Note that the first 3 decimals coincide. The cubic root of 38042844 is about 336.3238445170.

The spelling of 38042844 in words is "thirty-eight million, forty-two thousand, eight hundred forty-four".