38288384 has 44 divisors (see below), whose sum is σ = 77376600. Its totient is φ = 18935808.

The previous prime is 38288357. The next prime is 38288387. The reversal of 38288384 is 48388283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38288387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142202 + ... + 142470.

Almost surely, 2^38288384 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 38288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688300).

38288384 is an abundant number, since it is smaller than the sum of its proper divisors (39088216).

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

38288384 is a wasteful number, since it uses less digits than its factorization.

38288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its digits is 294912, while the sum is 44.

The square root of 38288384 is about 6187.7608227856. The cubic root of 38288384 is about 337.0458718856.

The spelling of 38288384 in words is "thirty-eight million, two hundred eighty-eight thousand, three hundred eighty-four".