38438920 has 64 divisors (see below), whose sum is σ = 96390000. Its totient is φ = 13698048.

The previous prime is 38438899. The next prime is 38438923. The reversal of 38438920 is 2983483.

It can be written as a sum of positive squares in 8 ways, for example, as 19201924 + 19236996 = 4382^2 + 4386^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38438920.

It is not an unprimeable number, because it can be changed into a prime (38438923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13806 + ... + 16354.

Almost surely, 2^38438920 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 38438920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48195000).

38438920 is an abundant number, since it is smaller than the sum of its proper divisors (57951080).

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

38438920 is a wasteful number, since it uses less digits than its factorization.

38438920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 38438920 is about 6199.9129026140. The cubic root of 38438920 is about 337.4870081876.

It can be divided in two parts, 384 and 38920, that added together give a cube (39304 = 34³).

The spelling of 38438920 in words is "thirty-eight million, four hundred thirty-eight thousand, nine hundred twenty".