3117777705 has 48 divisors (see below), whose sum is σ = 6202160640. Its totient is φ = 1419272064.

The previous prime is 3117777683. The next prime is 3117777709. The reversal of 3117777705 is 5077777113.

3117777705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3117777705 - 2⁹ = 3117777193 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3117777709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54579 + ... + 95991.

It is an arithmetic number, because the mean of its divisors is an integer number (129211680).

Almost surely, 2^3117777705 is an apocalyptic number.

3117777705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3117777705 is a deficient number, since it is larger than the sum of its proper divisors (3084382935).

3117777705 is a wasteful number, since it uses less digits than its factorization.

3117777705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41670 (or 41667 counting only the distinct ones).

The product of its (nonzero) digits is 252105, while the sum is 45.

The square root of 3117777705 is about 55837.0639002446. The cubic root of 3117777705 is about 1460.8817006505.

The spelling of 3117777705 in words is "three billion, one hundred seventeen million, seven hundred seventy-seven thousand, seven hundred five".