38505824 has 48 divisors (see below), whose sum is σ = 87056928. Its totient is φ = 16422912.

The previous prime is 38505811. The next prime is 38505827. The reversal of 38505824 is 42850583.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38505827) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 88712 + ... + 89144.

It is an arithmetic number, because the mean of its divisors is an integer number (1813686).

Almost surely, 2^38505824 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 38505824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43528464).

38505824 is an abundant number, since it is smaller than the sum of its proper divisors (48551104).

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

38505824 is a wasteful number, since it uses less digits than its factorization.

38505824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 38505824 is about 6205.3061165425. The cubic root of 38505824 is about 337.6826965119.

The spelling of 38505824 in words is "thirty-eight million, five hundred five thousand, eight hundred twenty-four".