38820488928000 has 576 divisors, whose sum is σ = 139314579436032. Its totient is φ = 9524592230400.

The previous prime is 38820488927977. The next prime is 38820488928007. The reversal of 38820488928000 is 82988402883.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (38820488928007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383085339 + ... + 383186661.

Almost surely, 2^{38820488928000} is an apocalyptic number.

38820488928000 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 38820488928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69657289718016).

38820488928000 is an abundant number, since it is smaller than the sum of its proper divisors (100494090508032).

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

38820488928000 is a wasteful number, since it uses less digits than its factorization.

38820488928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101677 (or 101653 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 60.

The spelling of 38820488928000 in words is "thirty-eight trillion, eight hundred twenty billion, four hundred eighty-eight million, nine hundred twenty-eight thousand".