38166217723872 has 432 divisors, whose sum is σ = 133742712291552. Its totient is φ = 10258522767360.

The previous prime is 38166217723831. The next prime is 38166217723903. The reversal of 38166217723872 is 27832771266183.

It is a happy number.

38166217723872 is a `hidden beast` number, since 3 + 8 + 166 + 2 + 177 + 238 + 72 = 666.

38166217723872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 545266797 + ... + 545336787.

It is an arithmetic number, because the mean of its divisors is an integer number (309589611786).

Almost surely, 2^{38166217723872} is an apocalyptic number.

38166217723872 is a gapful number since it is divisible by the number (32) 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 38166217723872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66871356145776).

38166217723872 is an abundant number, since it is smaller than the sum of its proper divisors (95576494567680).

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

38166217723872 is a wasteful number, since it uses less digits than its factorization.

38166217723872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72311 (or 72293 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 38166217723872 in words is "thirty-eight trillion, one hundred sixty-six billion, two hundred seventeen million, seven hundred twenty-three thousand, eight hundred seventy-two".