38534784 has 64 divisors (see below), whose sum is σ = 108397440. Its totient is φ = 12087296.

The previous prime is 38534773. The next prime is 38534791. The reversal of 38534784 is 48743583.

38534784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 3577 + ... + 9479.

It is an arithmetic number, because the mean of its divisors is an integer number (1693710).

Almost surely, 2^38534784 is an apocalyptic number.

38534784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38534784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54198720).

38534784 is an abundant number, since it is smaller than the sum of its proper divisors (69862656).

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

38534784 is a wasteful number, since it uses less digits than its factorization.

38534784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5925 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 38534784 is about 6207.6391647711. The cubic root of 38534784 is about 337.7673316765.

The spelling of 38534784 in words is "thirty-eight million, five hundred thirty-four thousand, seven hundred eighty-four".