38371781224000 has 336 divisors, whose sum is σ = 110813183310960. Its totient is φ = 13123818086400.

The previous prime is 38371781223973. The next prime is 38371781224079. The reversal of 38371781224000 is 42218717383.

It can be written as a sum of positive squares in 8 ways, for example, as 3305676695104 + 35066104528896 = 1818152^2 + 5921664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160208334 + ... + 160447666.

Almost surely, 2^{38371781224000} 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 38371781224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55406591655480).

38371781224000 is an abundant number, since it is smaller than the sum of its proper divisors (72441402086960).

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

38371781224000 is a wasteful number, since it uses less digits than its factorization.

38371781224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239783 (or 239756 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 38371781224000 in words is "thirty-eight trillion, three hundred seventy-one billion, seven hundred eighty-one million, two hundred twenty-four thousand".