3682434007791 has 32 divisors (see below), whose sum is σ = 6801609715200. Its totient is φ = 1912952730240.

The previous prime is 3682434007787. The next prime is 3682434007829. The reversal of 3682434007791 is 1977004342863.

3682434007791 is a `hidden beast` number, since 3 + 6 + 82 + 4 + 3 + 400 + 77 + 91 = 666.

It is not a de Polignac number, because 3682434007791 - 2² = 3682434007787 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682434007691) 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 31 ways as a sum of consecutive naturals, for example, 885624186 + ... + 885628343.

It is an arithmetic number, because the mean of its divisors is an integer number (212550303600).

Almost surely, 2^{3682434007791} is an apocalyptic number.

3682434007791 is a deficient number, since it is larger than the sum of its proper divisors (3119175707409).

3682434007791 is a wasteful number, since it uses less digits than its factorization.

3682434007791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771252556 (or 1771252550 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3682434007791 in words is "three trillion, six hundred eighty-two billion, four hundred thirty-four million, seven thousand, seven hundred ninety-one".