38384544000000 has 1344 divisors, whose sum is σ = 141029994792960. Its totient is φ = 9206784000000.

The previous prime is 38384543999983. The next prime is 38384544000013. The reversal of 38384544000000 is 44548383.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 172127999889 + ... + 172128000111.

It is an arithmetic number, because the mean of its divisors is an integer number (104933031840).

Almost surely, 2^{38384544000000} is an apocalyptic number.

38384544000000 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 38384544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70514997396480).

38384544000000 is an abundant number, since it is smaller than the sum of its proper divisors (102645450792960).

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

38384544000000 is an equidigital number, since it uses as much as digits as its factorization.

38384544000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 38384544000000 its reverse (44548383), we get a palindrome (38384588548383).

The spelling of 38384544000000 in words is "thirty-eight trillion, three hundred eighty-four billion, five hundred forty-four million", and thus it is an aban number.