39181968 has 150 divisors (see below), whose sum is σ = 132132726. Its totient is φ = 11176704.

The previous prime is 39181907. The next prime is 39181997. The reversal of 39181968 is 86918193.

39181968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22924944 + 16257024 = 4788^2 + 4032^2 .

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 29 ways as a sum of consecutive naturals, for example, 63196 + ... + 63812.

Almost surely, 2^39181968 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 39181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66066363).

39181968 is an abundant number, since it is smaller than the sum of its proper divisors (92950758).

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

39181968 is a wasteful number, since it uses less digits than its factorization.

39181968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 629 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 39181968 is about 6259.5501435806. The cubic root of 39181968 is about 339.6477551492.

It can be divided in two parts, 3918 and 1968, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 39181968 in words is "thirty-nine million, one hundred eighty-one thousand, nine hundred sixty-eight".