3905347257 has 16 divisors (see below), whose sum is σ = 6612228480. Its totient is φ = 2231626896.

The previous prime is 3905347231. The next prime is 3905347289. The reversal of 3905347257 is 7527435093.

3905347257 is a `hidden beast` number, since 3 + 90 + 534 + 7 + 25 + 7 = 666.

It is not a de Polignac number, because 3905347257 - 2¹⁹ = 3904822969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3905347757) 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 15 ways as a sum of consecutive naturals, for example, 10331418 + ... + 10331795.

It is an arithmetic number, because the mean of its divisors is an integer number (413264280).

Almost surely, 2^3905347257 is an apocalyptic number.

It is an amenable number.

3905347257 is a deficient number, since it is larger than the sum of its proper divisors (2706881223).

3905347257 is a wasteful number, since it uses less digits than its factorization.

3905347257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20663229 (or 20663223 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 3905347257 is about 62492.7776387000. Note that the first 3 decimals coincide. The cubic root of 3905347257 is about 1574.7799819646.

The spelling of 3905347257 in words is "three billion, nine hundred five million, three hundred forty-seven thousand, two hundred fifty-seven".