3705605596116 has 30 divisors (see below), whose sum is σ = 9687185000570. Its totient is φ = 1235201865264.

The previous prime is 3705605596057. The next prime is 3705605596153. The reversal of 3705605596116 is 6116955065073.

3705605596116 is a `hidden beast` number, since 3 + 7 + 0 + 560 + 5 + 5 + 9 + 61 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3703238384400 + 2367211716 = 1924380^2 + 48654^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 5718526831 + ... + 5718527478.

Almost surely, 2^{3705605596116} is an apocalyptic number.

3705605596116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3705605596116 is an abundant number, since it is smaller than the sum of its proper divisors (5981579404454).

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

3705605596116 is a wasteful number, since it uses less digits than its factorization.

3705605596116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437054325 (or 11437054314 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 3705605596116 in words is "three trillion, seven hundred five billion, six hundred five million, five hundred ninety-six thousand, one hundred sixteen".