1938730106376 has 192 divisors, whose sum is σ = 6072659424000. Its totient is φ = 547316711424.

The previous prime is 1938730106353. The next prime is 1938730106377. The reversal of 1938730106376 is 6736010378391.

1938730106376 is a `hidden beast` number, since 1 + 93 + 87 + 3 + 0 + 106 + 376 = 666.

It is not an unprimeable number, because it can be changed into a prime (1938730106377) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23266900 + ... + 23350076.

It is an arithmetic number, because the mean of its divisors is an integer number (31628434500).

Almost surely, 2^{1938730106376} 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 1938730106376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036329712000).

1938730106376 is an abundant number, since it is smaller than the sum of its proper divisors (4133929317624).

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

1938730106376 is a wasteful number, since it uses less digits than its factorization.

1938730106376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83748 (or 83741 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1938730106376 in words is "one trillion, nine hundred thirty-eight billion, seven hundred thirty million, one hundred six thousand, three hundred seventy-six".