38002016 has 36 divisors (see below), whose sum is σ = 81025812. Its totient is φ = 17536896.

The previous prime is 38002009. The next prime is 38002037. The reversal of 38002016 is 61020083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1895 + ... + 8921.

It is an arithmetic number, because the mean of its divisors is an integer number (2250717).

Almost surely, 2^38002016 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 38002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40512906).

38002016 is an abundant number, since it is smaller than the sum of its proper divisors (43023796).

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

38002016 is a wasteful number, since it uses less digits than its factorization.

38002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 38002016 is about 6164.5775199928. The cubic root of 38002016 is about 336.2034859628.

Adding to 38002016 its reverse (61020083), we get a palindrome (99022099).

The spelling of 38002016 in words is "thirty-eight million, two thousand, sixteen".