3905345967 has 8 divisors (see below), whose sum is σ = 5347861296. Its totient is φ = 2533197312.

The previous prime is 3905345953. The next prime is 3905345999. The reversal of 3905345967 is 7695435093.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3905345967 - 2⁶ = 3905345903 is a prime.

It is a Smith number, since the sum of its digits (51) 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 (3905365967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17591538 + ... + 17591759.

It is an arithmetic number, because the mean of its divisors is an integer number (668482662).

Almost surely, 2^3905345967 is an apocalyptic number.

3905345967 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3905345967 is a deficient number, since it is larger than the sum of its proper divisors (1442515329).

3905345967 is a wasteful number, since it uses less digits than its factorization.

3905345967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35183337.

The product of its (nonzero) digits is 3061800, while the sum is 51.

The square root of 3905345967 is about 62492.7673175064. The cubic root of 3905345967 is about 1574.7798085728.

The spelling of 3905345967 in words is "three billion, nine hundred five million, three hundred forty-five thousand, nine hundred sixty-seven".