3934384172991 has 40 divisors (see below), whose sum is σ = 6006553217280. Its totient is φ = 2565313412112.

The previous prime is 3934384172947. The next prime is 3934384173029. The reversal of 3934384172991 is 1992714834393.

3934384172991 is a `hidden beast` number, since 3 + 9 + 3 + 438 + 41 + 72 + 9 + 91 = 666.

It is not a de Polignac number, because 3934384172991 - 2¹⁴ = 3934384156607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3934384173991) 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 39 ways as a sum of consecutive naturals, for example, 5070480 + ... + 5794698.

It is an arithmetic number, because the mean of its divisors is an integer number (150163830432).

Almost surely, 2^{3934384172991} is an apocalyptic number.

3934384172991 is a deficient number, since it is larger than the sum of its proper divisors (2072169044289).

3934384172991 is a wasteful number, since it uses less digits than its factorization.

3934384172991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725705 (or 725696 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 3934384172991 in words is "three trillion, nine hundred thirty-four billion, three hundred eighty-four million, one hundred seventy-two thousand, nine hundred ninety-one".