38981217796928 has 448 divisors, whose sum is σ = 95716805345280. Its totient is φ = 15665608949760.

The previous prime is 38981217796849. The next prime is 38981217796943. The reversal of 38981217796928 is 82969771218983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1553828801 + ... + 1553853887.

It is an arithmetic number, because the mean of its divisors is an integer number (213653583360).

Almost surely, 2^{38981217796928} 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 38981217796928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47858402672640).

38981217796928 is an abundant number, since it is smaller than the sum of its proper divisors (56735587548352).

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

38981217796928 is a wasteful number, since it uses less digits than its factorization.

38981217796928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25215 (or 25183 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 80.

The spelling of 38981217796928 in words is "thirty-eight trillion, nine hundred eighty-one billion, two hundred seventeen million, seven hundred ninety-six thousand, nine hundred twenty-eight".