38863872 has 66 divisors (see below), whose sum is σ = 112245198. Its totient is φ = 12951552.

The previous prime is 38863871. The next prime is 38863889. The reversal of 38863872 is 27836883.

38863872 is a `hidden beast` number, since 3 + 8 + 8 + 638 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 1115136 = 6144^2 + 1056^2 .

It is not an unprimeable number, because it can be changed into a prime (38863871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7108 + ... + 11324.

Almost surely, 2^38863872 is an apocalyptic number.

38863872 is a gapful number since it is divisible by the number (32) 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 38863872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56122599).

38863872 is an abundant number, since it is smaller than the sum of its proper divisors (73381326).

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

38863872 is a wasteful number, since it uses less digits than its factorization.

38863872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4222 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38863872 is about 6234.0895085008. The cubic root of 38863872 is about 338.7261212363.

The spelling of 38863872 in words is "thirty-eight million, eight hundred sixty-three thousand, eight hundred seventy-two".