38222970883344 has 800 divisors, whose sum is σ = 124659127971840. Its totient is φ = 11225881497600.

The previous prime is 38222970883333. The next prime is 38222970883381. The reversal of 38222970883344 is 44338807922283.

38222970883344 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 297 + 0 + 8 + 8 + 334 + 4 = 666.

It is a super-3 number, since 3×38222970883344³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20538940974 + ... + 20538942834.

Almost surely, 2^{38222970883344} 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 38222970883344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62329563985920).

38222970883344 is an abundant number, since it is smaller than the sum of its proper divisors (86436157088496).

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

38222970883344 is a wasteful number, since it uses less digits than its factorization.

38222970883344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 38222970883344 in words is "thirty-eight trillion, two hundred twenty-two billion, nine hundred seventy million, eight hundred eighty-three thousand, three hundred forty-four".