39381768 has 64 divisors (see below), whose sum is σ = 113184000. Its totient is φ = 12672576.

The previous prime is 39381731. The next prime is 39381779. The reversal of 39381768 is 86718393.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121 + ... + 9407.

It is an arithmetic number, because the mean of its divisors is an integer number (1768500).

Almost surely, 2^39381768 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 39381768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56592000).

39381768 is an abundant number, since it is smaller than the sum of its proper divisors (73802232).

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

39381768 is a wasteful number, since it uses less digits than its factorization.

39381768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6321 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 39381768 is about 6275.4894629822. The cubic root of 39381768 is about 340.2240967849.

The spelling of 39381768 in words is "thirty-nine million, three hundred eighty-one thousand, seven hundred sixty-eight".