38344712224000 has 576 divisors, whose sum is σ = 121619117168640. Its totient is φ = 11716979097600.

The previous prime is 38344712223991. The next prime is 38344712224003. The reversal of 38344712224000 is 42221744383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38344712224003) 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, 84220969 + ... + 84675031.

It is an arithmetic number, because the mean of its divisors is an integer number (211144300640).

Almost surely, 2^{38344712224000} 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 38344712224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60809558584320).

38344712224000 is an abundant number, since it is smaller than the sum of its proper divisors (83274404944640).

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

38344712224000 is a wasteful number, since it uses less digits than its factorization.

38344712224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454143 (or 454119 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

Adding to 38344712224000 its reverse (42221744383), we get a palindrome (38386933968383).

The spelling of 38344712224000 in words is "thirty-eight trillion, three hundred forty-four billion, seven hundred twelve million, two hundred twenty-four thousand".