38684800 has 192 divisors, whose sum is σ = 119903040. Its totient is φ = 11980800.

The previous prime is 38684791. The next prime is 38684801. The reversal of 38684800 is 848683.

It is a self number, because there is not a number n which added to its sum of digits gives 38684800.

It is not an unprimeable number, because it can be changed into a prime (38684801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246322 + ... + 246478.

It is an arithmetic number, because the mean of its divisors is an integer number (624495).

Almost surely, 2^38684800 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 38684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59951520).

38684800 is an abundant number, since it is smaller than the sum of its proper divisors (81218240).

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

38684800 is a wasteful number, since it uses less digits than its factorization.

38684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 38684800 is about 6219.7106042002. The cubic root of 38684800 is about 338.2050737817.

It can be divided in two parts, 3868 and 4800, that added together give a palindrome (8668).

The spelling of 38684800 in words is "thirty-eight million, six hundred eighty-four thousand, eight hundred".