38384500 has 96 divisors (see below), whose sum is σ = 104622336. Its totient is φ = 11952000.

The previous prime is 38384497. The next prime is 38384527. The reversal of 38384500 is 548383.

38384500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 38002 + ... + 38998.

It is an arithmetic number, because the mean of its divisors is an integer number (1089816).

Almost surely, 2^38384500 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 38384500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52311168).

38384500 is an abundant number, since it is smaller than the sum of its proper divisors (66237836).

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

38384500 is a wasteful number, since it uses less digits than its factorization.

38384500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 38384500 is about 6195.5225768292. The cubic root of 38384500 is about 337.3276669343.

It can be divided in two parts, 3838 and 4500, that added together give a palindrome (8338).

The spelling of 38384500 in words is "thirty-eight million, three hundred eighty-four thousand, five hundred".