38224673644080 has 320 divisors, whose sum is σ = 147742772428800. Its totient is φ = 7942418856960.

The previous prime is 38224673644043. The next prime is 38224673644139. The reversal of 38224673644080 is 8044637642283.

It is a super-2 number, since 2×38224673644080² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38224673644080.

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 63 ways as a sum of consecutive naturals, for example, 594266161 + ... + 594330479.

It is an arithmetic number, because the mean of its divisors is an integer number (461696163840).

Almost surely, 2^{38224673644080} is an apocalyptic number.

38224673644080 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 38224673644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73871386214400).

38224673644080 is an abundant number, since it is smaller than the sum of its proper divisors (109518098784720).

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

38224673644080 is a wasteful number, since it uses less digits than its factorization.

38224673644080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96512 (or 96506 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 57.

The spelling of 38224673644080 in words is "thirty-eight trillion, two hundred twenty-four billion, six hundred seventy-three million, six hundred forty-four thousand, eighty".