38784672 has 36 divisors (see below), whose sum is σ = 110294730. Its totient is φ = 12928128.

The previous prime is 38784671. The next prime is 38784737. The reversal of 38784672 is 27648783.

It is a happy number.

38784672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23386896 + 15397776 = 4836^2 + 3924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38784671) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 67047 + ... + 67622.

Almost surely, 2^38784672 is an apocalyptic number.

38784672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38784672 is an abundant number, since it is smaller than the sum of its proper divisors (71510058).

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

38784672 is a wasteful number, since it uses less digits than its factorization.

38784672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134685 (or 134674 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 38784672 is about 6227.7340983700. The cubic root of 38784672 is about 338.4958700924.

The spelling of 38784672 in words is "thirty-eight million, seven hundred eighty-four thousand, six hundred seventy-two".