3705677085 has 128 divisors (see below), whose sum is σ = 7255941120. Its totient is φ = 1592729600.

The previous prime is 3705677081. The next prime is 3705677099. The reversal of 3705677085 is 5807765073.

It is not a de Polignac number, because 3705677085 - 2² = 3705677081 is a prime.

It is a super-3 number, since 3×3705677085³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705677081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4580161 + ... + 4580969.

It is an arithmetic number, because the mean of its divisors is an integer number (56687040).

Almost surely, 2^3705677085 is an apocalyptic number.

It is an amenable number.

3705677085 is a deficient number, since it is larger than the sum of its proper divisors (3550264035).

3705677085 is a wasteful number, since it uses less digits than its factorization.

3705677085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939.

The product of its (nonzero) digits is 1234800, while the sum is 48.

The square root of 3705677085 is about 60874.2727677300. The cubic root of 3705677085 is about 1547.4710178194.

The spelling of 3705677085 in words is "three billion, seven hundred five million, six hundred seventy-seven thousand, eighty-five".