38573920 has 192 divisors, whose sum is σ = 118444032. Its totient is φ = 11520000.

The previous prime is 38573917. The next prime is 38573957. The reversal of 38573920 is 2937583.

It is a self number, because there is not a number n which added to its sum of digits gives 38573920.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 381870 + ... + 381970.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 2^38573920 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 38573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59222016).

38573920 is an abundant number, since it is smaller than the sum of its proper divisors (79870112).

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

38573920 is a wasteful number, since it uses less digits than its factorization.

38573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 38573920 is about 6210.7906098982. The cubic root of 38573920 is about 337.8816387035.

It can be divided in two parts, 38573 and 920, that added together give a palindrome (39493).

The spelling of 38573920 in words is "thirty-eight million, five hundred seventy-three thousand, nine hundred twenty".