38682043373106 has 120 divisors (see below), whose sum is σ = 100886238834480. Its totient is φ = 11045594086128.

The previous prime is 38682043373101. The next prime is 38682043373131. The reversal of 38682043373106 is 60137334028683.

38682043373106 is a `hidden beast` number, since 3 + 8 + 68 + 204 + 3 + 373 + 1 + 0 + 6 = 666.

38682043373106 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 (54).

It is not an unprimeable number, because it can be changed into a prime (38682043373101) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 12263065 + ... + 15091283.

It is an arithmetic number, because the mean of its divisors is an integer number (840718656954).

Almost surely, 2^{38682043373106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682043373106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50443119417240).

38682043373106 is an abundant number, since it is smaller than the sum of its proper divisors (62204195461374).

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

38682043373106 is a wasteful number, since it uses less digits than its factorization.

38682043373106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829970 (or 2829954 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 38682043373106 in words is "thirty-eight trillion, six hundred eighty-two billion, forty-three million, three hundred seventy-three thousand, one hundred six".