38676384 has 36 divisors (see below), whose sum is σ = 109986786. Its totient is φ = 12892032.

The previous prime is 38676383. The next prime is 38676389. The reversal of 38676384 is 48367683.

38676384 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25280784 + 13395600 = 5028^2 + 3660^2 .

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

It is not an unprimeable number, because it can be changed into a prime (38676383) 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 5 ways as a sum of consecutive naturals, for example, 66859 + ... + 67434.

Almost surely, 2^38676384 is an apocalyptic number.

It is an amenable number.

38676384 is an abundant number, since it is smaller than the sum of its proper divisors (71310402).

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

38676384 is a wasteful number, since it uses less digits than its factorization.

38676384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134309 (or 134298 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 38676384 is about 6219.0340085901. The cubic root of 38676384 is about 338.1805461435.

It can be divided in two parts, 38676 and 384, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 38676384 in words is "thirty-eight million, six hundred seventy-six thousand, three hundred eighty-four".