38936016 has 180 divisors, whose sum is σ = 132661152. Its totient is φ = 10440576.

The previous prime is 38935991. The next prime is 38936021. The reversal of 38936016 is 61063983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 363835 + ... + 363941.

Almost surely, 2^38936016 is an apocalyptic number.

38936016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38936016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66330576).

38936016 is an abundant number, since it is smaller than the sum of its proper divisors (93725136).

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

38936016 is a wasteful number, since it uses less digits than its factorization.

38936016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38936016 is about 6239.8730756322. The cubic root of 38936016 is about 338.9355869995.

Adding to 38936016 its reverse (61063983), we get a palindrome (99999999).

It can be divided in two parts, 389360 and 16, that added together give a square (389376 = 624²).

The spelling of 38936016 in words is "thirty-eight million, nine hundred thirty-six thousand, sixteen".