38786832 has 180 divisors, whose sum is σ = 132312960. Its totient is φ = 10555776.

The previous prime is 38786827. The next prime is 38786849. The reversal of 38786832 is 23868783.

38786832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 162169 + ... + 162407.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 2^38786832 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 38786832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66156480).

38786832 is an abundant number, since it is smaller than the sum of its proper divisors (93526128).

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

38786832 is a wasteful number, since it uses less digits than its factorization.

38786832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

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

The square root of 38786832 is about 6227.9075137642. The cubic root of 38786832 is about 338.5021538248.

The spelling of 38786832 in words is "thirty-eight million, seven hundred eighty-six thousand, eight hundred thirty-two".