38871144 has 128 divisors (see below), whose sum is σ = 118272000. Its totient is φ = 11757312.

The previous prime is 38871143. The next prime is 38871149. The reversal of 38871144 is 44117883.

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

It is a junction number, because it is equal to n+sod(n) for n = 38871099 and 38871108.

It is not an unprimeable number, because it can be changed into a prime (38871143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306009 + ... + 306135.

It is an arithmetic number, because the mean of its divisors is an integer number (924000).

Almost surely, 2^38871144 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 38871144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136000).

38871144 is an abundant number, since it is smaller than the sum of its proper divisors (79400856).

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

38871144 is a wasteful number, since it uses less digits than its factorization.

38871144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 38871144 is about 6234.6727259737. The cubic root of 38871144 is about 338.7472467925.

The spelling of 38871144 in words is "thirty-eight million, eight hundred seventy-one thousand, one hundred forty-four".