3716505979875 has 320 divisors, whose sum is σ = 7692505172352. Its totient is φ = 1773699379200.

The previous prime is 3716505979873. The next prime is 3716505979877. The reversal of 3716505979875 is 5789795056173.

3716505979875 is a `hidden beast` number, since 37 + 1 + 6 + 505 + 9 + 7 + 9 + 87 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3716505979873) and next prime (3716505979877).

It is not a de Polignac number, because 3716505979875 - 2¹ = 3716505979873 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3716505979873) 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 319 ways as a sum of consecutive naturals, for example, 775400479 + ... + 775405271.

Almost surely, 2^{3716505979875} is an apocalyptic number.

3716505979875 is an abundant number, since it is smaller than the sum of its proper divisors (3975999192477).

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

3716505979875 is a wasteful number, since it uses less digits than its factorization.

3716505979875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 500094000, while the sum is 72.

The spelling of 3716505979875 in words is "three trillion, seven hundred sixteen billion, five hundred five million, nine hundred seventy-nine thousand, eight hundred seventy-five".