38382816 has 48 divisors (see below), whose sum is σ = 102153744. Its totient is φ = 12616704.

The previous prime is 38382811. The next prime is 38382833. The reversal of 38382816 is 61828383.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38382811) 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 7 ways as a sum of consecutive naturals, for example, 4270 + ... + 9746.

It is an arithmetic number, because the mean of its divisors is an integer number (2128203).

Almost surely, 2^38382816 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 38382816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51076872).

38382816 is an abundant number, since it is smaller than the sum of its proper divisors (63770928).

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

38382816 is a wasteful number, since it uses less digits than its factorization.

38382816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5555 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 38382816 is about 6195.3866707414. The cubic root of 38382816 is about 337.3227337964.

The spelling of 38382816 in words is "thirty-eight million, three hundred eighty-two thousand, eight hundred sixteen".