39281152768 has 144 divisors (see below), whose sum is σ = 92831219712. Its totient is φ = 16353792000.

The previous prime is 39281152751. The next prime is 39281152789. The reversal of 39281152768 is 86725118293.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4791553 + ... + 4799743.

It is an arithmetic number, because the mean of its divisors is an integer number (644661248).

Almost surely, 2^39281152768 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 39281152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46415609856).

39281152768 is an abundant number, since it is smaller than the sum of its proper divisors (53550066944).

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

39281152768 is a wasteful number, since it uses less digits than its factorization.

39281152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8348 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The spelling of 39281152768 in words is "thirty-nine billion, two hundred eighty-one million, one hundred fifty-two thousand, seven hundred sixty-eight".