38289216 has 112 divisors (see below), whose sum is σ = 119644160. Its totient is φ = 10575360.

The previous prime is 38289211. The next prime is 38289239. The reversal of 38289216 is 61298283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×38289216³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38289211) 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, 41205 + ... + 42123.

Almost surely, 2^38289216 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 38289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59822080).

38289216 is an abundant number, since it is smaller than the sum of its proper divisors (81354944).

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

38289216 is a wasteful number, since it uses less digits than its factorization.

38289216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 38289216 is about 6187.8280519097. The cubic root of 38289216 is about 337.0483131842.

It can be divided in two parts, 382 and 89216, that added together give a palindrome (89598).

The spelling of 38289216 in words is "thirty-eight million, two hundred eighty-nine thousand, two hundred sixteen".