38516400 has 180 divisors, whose sum is σ = 144119248. Its totient is φ = 9469440.

The previous prime is 38516381. The next prime is 38516447. The reversal of 38516400 is 461583.

38516400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46389 + ... + 47211.

Almost surely, 2^38516400 is an apocalyptic number.

38516400 is a gapful number since it is divisible by the number (30) 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 38516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72059624).

38516400 is an abundant number, since it is smaller than the sum of its proper divisors (105602848).

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

38516400 is a wasteful number, since it uses less digits than its factorization.

38516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38516400 is about 6206.1582319499. The cubic root of 38516400 is about 337.7136096302.

Adding to 38516400 its reverse (461583), we get a palindrome (38977983).

The spelling of 38516400 in words is "thirty-eight million, five hundred sixteen thousand, four hundred".