38786752 has 56 divisors (see below), whose sum is σ = 81930240. Its totient is φ = 18167040.

The previous prime is 38786747. The next prime is 38786753. The reversal of 38786752 is 25768783.

38786752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38786753) 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 7 ways as a sum of consecutive naturals, for example, 202977 + ... + 203167.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^38786752 is an apocalyptic number.

38786752 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 38786752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965120).

38786752 is an abundant number, since it is smaller than the sum of its proper divisors (43143488).

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

38786752 is a wasteful number, since it uses less digits than its factorization.

38786752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 38786752 is about 6227.9010910579. The cubic root of 38786752 is about 338.5019210982.

The spelling of 38786752 in words is "thirty-eight million, seven hundred eighty-six thousand, seven hundred fifty-two".