38984824800000 has 864 divisors, whose sum is σ = 144590970585600. Its totient is φ = 10360327680000.

The previous prime is 38984824799983. The next prime is 38984824800001. The reversal of 38984824800000 is 842848983.

38984824800000 is a `hidden beast` number, since 3 + 8 + 9 + 84 + 82 + 480 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 38984824800000.

It is not an unprimeable number, because it can be changed into a prime (38984824800001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6631197061 + ... + 6631202939.

It is an arithmetic number, because the mean of its divisors is an integer number (167350660400).

Almost surely, 2^{38984824800000} is an apocalyptic number.

38984824800000 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 38984824800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72295485292800).

38984824800000 is an abundant number, since it is smaller than the sum of its proper divisors (105606145785600).

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

38984824800000 is an frugal number, since it uses more digits than its factorization.

38984824800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 38984824800000 in words is "thirty-eight trillion, nine hundred eighty-four billion, eight hundred twenty-four million, eight hundred thousand".