38354816 has 32 divisors (see below), whose sum is σ = 77397600. Its totient is φ = 18929664.

The previous prime is 38354809. The next prime is 38354819. The reversal of 38354816 is 61845383.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 38354816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38354819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8216 + ... + 12008.

It is an arithmetic number, because the mean of its divisors is an integer number (2418675).

Almost surely, 2^38354816 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 38354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38698800).

38354816 is an abundant number, since it is smaller than the sum of its proper divisors (39042784).

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

38354816 is an equidigital number, since it uses as much as digits as its factorization.

38354816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3874 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 38354816 is about 6193.1265125137. The cubic root of 38354816 is about 337.2406889721.

The spelling of 38354816 in words is "thirty-eight million, three hundred fifty-four thousand, eight hundred sixteen".