39382752 has 48 divisors (see below), whose sum is σ = 103822992. Its totient is φ = 13071360.

The previous prime is 39382751. The next prime is 39382781. The reversal of 39382752 is 25728393.

39382752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39382752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39382751) 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, 25852 + ... + 27332.

It is an arithmetic number, because the mean of its divisors is an integer number (2162979).

Almost surely, 2^39382752 is an apocalyptic number.

39382752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39382752 is an abundant number, since it is smaller than the sum of its proper divisors (64440240).

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

39382752 is a wasteful number, since it uses less digits than its factorization.

39382752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1763 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 39382752 is about 6275.5678627515. The cubic root of 39382752 is about 340.2269303949.

The spelling of 39382752 in words is "thirty-nine million, three hundred eighty-two thousand, seven hundred fifty-two".