38796768000 has 432 divisors, whose sum is σ = 145696614336. Its totient is φ = 9894297600.

The previous prime is 38796767987. The next prime is 38796768011. The reversal of 38796768000 is 86769783.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6621072 + ... + 6626928.

Almost surely, 2^38796768000 is an apocalyptic number.

38796768000 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 38796768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848307168).

38796768000 is an abundant number, since it is smaller than the sum of its proper divisors (106899846336).

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

38796768000 is a wasteful number, since it uses less digits than its factorization.

38796768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5890 counting only the distinct ones).

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

The spelling of 38796768000 in words is "thirty-eight billion, seven hundred ninety-six million, seven hundred sixty-eight thousand".