3968319705 has 32 divisors (see below), whose sum is σ = 7348224000. Its totient is φ = 1791122112.

The previous prime is 3968319701. The next prime is 3968319739. The reversal of 3968319705 is 5079138693.

3968319705 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 3968319705 - 2² = 3968319701 is a prime.

It is a super-2 number, since 2×3968319705² = 31495122562182574050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3968319701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230905 + ... + 247494.

It is an arithmetic number, because the mean of its divisors is an integer number (229632000).

Almost surely, 2^3968319705 is an apocalyptic number.

3968319705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3968319705 is a deficient number, since it is larger than the sum of its proper divisors (3379904295).

3968319705 is a wasteful number, since it uses less digits than its factorization.

3968319705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478493.

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 3968319705 is about 62994.6006019564. The cubic root of 3968319705 is about 1583.1991614715.

The spelling of 3968319705 in words is "three billion, nine hundred sixty-eight million, three hundred nineteen thousand, seven hundred five".