38796768000000 has 1008 divisors, whose sum is σ = 146178111708720. Its totient is φ = 9894297600000.

The previous prime is 38796767999947. The next prime is 38796768000007. The reversal of 38796768000000 is 86769783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38796768000007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6623997072 + ... + 6624002928.

It is an arithmetic number, because the mean of its divisors is an integer number (145017967965).

Almost surely, 2^{38796768000000} is an apocalyptic number.

38796768000000 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 38796768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73089055854360).

38796768000000 is an abundant number, since it is smaller than the sum of its proper divisors (107381343708720).

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

38796768000000 is an frugal number, since it uses more digits than its factorization.

38796768000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 38796768000000 in words is "thirty-eight trillion, seven hundred ninety-six billion, seven hundred sixty-eight million", and thus it is an aban number.