38386816 has 128 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 15679488.

The previous prime is 38386813. The next prime is 38386837. The reversal of 38386816 is 61868383.

38386816 = T₂₃₃ + T₂₃₄ + ... + T₆₂₃.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38386813) 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, 650595 + ... + 650653.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^38386816 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 38386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

38386816 is an abundant number, since it is smaller than the sum of its proper divisors (54147584).

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

38386816 is a wasteful number, since it uses less digits than its factorization.

38386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 38386816 is about 6195.7094831827. The cubic root of 38386816 is about 337.3344512280.

The spelling of 38386816 in words is "thirty-eight million, three hundred eighty-six thousand, eight hundred sixteen".