38138544 has 90 divisors (see below), whose sum is σ = 110188260. Its totient is φ = 12310848.

The previous prime is 38138539. The next prime is 38138561. The reversal of 38138544 is 44583183.

38138544 is a `hidden beast` number, since 3 + 81 + 38 + 544 = 666.

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 = 38138499 and 38138508.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 569199 + ... + 569265.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 2^38138544 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 38138544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55094130).

38138544 is an abundant number, since it is smaller than the sum of its proper divisors (72049716).

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

38138544 is a wasteful number, since it uses less digits than its factorization.

38138544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 131 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 38138544 is about 6175.6411812864. The cubic root of 38138544 is about 336.6056254177.

The spelling of 38138544 in words is "thirty-eight million, one hundred thirty-eight thousand, five hundred forty-four".