38800216 has 64 divisors (see below), whose sum is σ = 90316800. Its totient is φ = 15216768.

The previous prime is 38800211. The next prime is 38800217. The reversal of 38800216 is 61200883.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38800211) 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, 162225 + ... + 162463.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^38800216 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 38800216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

38800216 is an abundant number, since it is smaller than the sum of its proper divisors (51516584).

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

38800216 is a wasteful number, since it uses less digits than its factorization.

38800216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 38800216 is about 6228.9819392899. The cubic root of 38800216 is about 338.5410844927.

The spelling of 38800216 in words is "thirty-eight million, eight hundred thousand, two hundred sixteen".