38927965440 has 576 divisors, whose sum is σ = 162042564096. Its totient is φ = 7729053696.

The previous prime is 38927965409. The next prime is 38927965441. The reversal of 38927965440 is 4456972983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38927965441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5937204 + ... + 5943756.

It is an arithmetic number, because the mean of its divisors is an integer number (281323896).

Almost surely, 2^38927965440 is an apocalyptic number.

38927965440 is a gapful number since it is divisible by the number (30) 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 38927965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81021282048).

38927965440 is an abundant number, since it is smaller than the sum of its proper divisors (123114598656).

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

38927965440 is a wasteful number, since it uses less digits than its factorization.

38927965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 38927965440 in words is "thirty-eight billion, nine hundred twenty-seven million, nine hundred sixty-five thousand, four hundred forty".