38138784 has 72 divisors (see below), whose sum is σ = 104795712. Its totient is φ = 12144000.

The previous prime is 38138767. The next prime is 38138791. The reversal of 38138784 is 48783183.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50409 + ... + 51159.

It is an arithmetic number, because the mean of its divisors is an integer number (1455496).

Almost surely, 2^38138784 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 38138784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52397856).

38138784 is an abundant number, since it is smaller than the sum of its proper divisors (66656928).

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

38138784 is a wasteful number, since it uses less digits than its factorization.

38138784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 779 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 38138784 is about 6175.6606124365. The cubic root of 38138784 is about 336.6063314854.

The spelling of 38138784 in words is "thirty-eight million, one hundred thirty-eight thousand, seven hundred eighty-four".