38180800 has 126 divisors (see below), whose sum is σ = 109511592. Its totient is φ = 13063680.

The previous prime is 38180783. The next prime is 38180801. The reversal of 38180800 is 808183.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38180801) 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 17 ways as a sum of consecutive naturals, for example, 78157 + ... + 78643.

Almost surely, 2^38180800 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 38180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54755796).

38180800 is an abundant number, since it is smaller than the sum of its proper divisors (71330792).

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

38180800 is a wasteful number, since it uses less digits than its factorization.

38180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 38180800 is about 6179.0614173999. The cubic root of 38180800 is about 336.7298947787.

Adding to 38180800 its reverse (808183), we get a palindrome (38988983).

The spelling of 38180800 in words is "thirty-eight million, one hundred eighty thousand, eight hundred".