38041872 has 80 divisors (see below), whose sum is σ = 108356160. Its totient is φ = 11404800.

The previous prime is 38041859. The next prime is 38041873. The reversal of 38041872 is 27814083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38041873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57222 + ... + 57882.

It is an arithmetic number, because the mean of its divisors is an integer number (1354452).

Almost surely, 2^38041872 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 38041872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54178080).

38041872 is an abundant number, since it is smaller than the sum of its proper divisors (70314288).

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

38041872 is a wasteful number, since it uses less digits than its factorization.

38041872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 38041872 is about 6167.8093355745. The cubic root of 38041872 is about 336.3209801188.

The spelling of 38041872 in words is "thirty-eight million, forty-one thousand, eight hundred seventy-two".