38187144 has 48 divisors (see below), whose sum is σ = 104036400. Its totient is φ = 12653664.

The previous prime is 38187143. The next prime is 38187157. The reversal of 38187144 is 44178183.

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 = 38187099 and 38187108.

It is not an unprimeable number, because it can be changed into a prime (38187143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11407 + ... + 14369.

It is an arithmetic number, because the mean of its divisors is an integer number (2167425).

Almost surely, 2^38187144 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 38187144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52018200).

38187144 is an abundant number, since it is smaller than the sum of its proper divisors (65849256).

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

38187144 is a wasteful number, since it uses less digits than its factorization.

38187144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3147 counting only the distinct ones).

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

The square root of 38187144 is about 6179.5747426502. The cubic root of 38187144 is about 336.7485437344.

The spelling of 38187144 in words is "thirty-eight million, one hundred eighty-seven thousand, one hundred forty-four".