3705868695375 has 480 divisors, whose sum is σ = 8789159396160. Its totient is φ = 1536288768000.

The previous prime is 3705868695343. The next prime is 3705868695437. The reversal of 3705868695375 is 5735968685073.

3705868695375 is a `hidden beast` number, since 3 + 7 + 0 + 5 + 8 + 6 + 86 + 9 + 537 + 5 = 666.

It is not a de Polignac number, because 3705868695375 - 2⁵ = 3705868695343 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3672812871 + ... + 3672813879.

It is an arithmetic number, because the mean of its divisors is an integer number (18310748742).

Almost surely, 2^{3705868695375} is an apocalyptic number.

3705868695375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3705868695375 is an abundant number, since it is smaller than the sum of its proper divisors (5083290700785).

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

3705868695375 is a wasteful number, since it uses less digits than its factorization.

3705868695375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 3705868695375 in words is "three trillion, seven hundred five billion, eight hundred sixty-eight million, six hundred ninety-five thousand, three hundred seventy-five".