38844400 has 60 divisors (see below), whose sum is σ = 106663312. Its totient is φ = 13317120.

The previous prime is 38844397. The next prime is 38844461. The reversal of 38844400 is 444883.

38844400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38844400² = 3017774822720000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4137 + ... + 9736.

Almost surely, 2^38844400 is an apocalyptic number.

It is an amenable number.

38844400 is an abundant number, since it is smaller than the sum of its proper divisors (67818912).

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

38844400 is a wasteful number, since it uses less digits than its factorization.

38844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898 (or 13887 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 38844400 is about 6232.5275771552. The cubic root of 38844400 is about 338.6695410369.

The spelling of 38844400 in words is "thirty-eight million, eight hundred forty-four thousand, four hundred".