38784288 has 96 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 12303360.

The previous prime is 38784283. The next prime is 38784307. The reversal of 38784288 is 88248783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38784283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216583 + ... + 216761.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^38784288 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 38784288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

38784288 is an abundant number, since it is smaller than the sum of its proper divisors (68083872).

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

38784288 is a wasteful number, since it uses less digits than its factorization.

38784288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The square root of 38784288 is about 6227.7032684610. The cubic root of 38784288 is about 338.4947529600.

The spelling of 38784288 in words is "thirty-eight million, seven hundred eighty-four thousand, two hundred eighty-eight".