38824800 has 144 divisors (see below), whose sum is σ = 144490752. Its totient is φ = 8870400.

The previous prime is 38824783. The next prime is 38824801. The reversal of 38824800 is 842883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38824801) 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, 15645 + ... + 17955.

It is an arithmetic number, because the mean of its divisors is an integer number (1003408).

Almost surely, 2^38824800 is an apocalyptic number.

38824800 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 38824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72245376).

38824800 is an abundant number, since it is smaller than the sum of its proper divisors (105665952).

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

38824800 is a wasteful number, since it uses less digits than its factorization.

38824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 38824800 is about 6230.9549829862. The cubic root of 38824800 is about 338.6125698067.

The spelling of 38824800 in words is "thirty-eight million, eight hundred twenty-four thousand, eight hundred".