3905377875 has 128 divisors (see below), whose sum is σ = 8410521600. Its totient is φ = 1751068800.

The previous prime is 3905377859. The next prime is 3905377891. The reversal of 3905377875 is 5787735093.

3905377875 is a `hidden beast` number, since 39 + 0 + 537 + 7 + 8 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (3905377859) and next prime (3905377891).

It is not a de Polignac number, because 3905377875 - 2⁴ = 3905377859 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1250566 + ... + 1253684.

It is an arithmetic number, because the mean of its divisors is an integer number (65707200).

Almost surely, 2^3905377875 is an apocalyptic number.

3905377875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3905377875 is an abundant number, since it is smaller than the sum of its proper divisors (4505143725).

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

3905377875 is a wasteful number, since it uses less digits than its factorization.

3905377875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The square root of 3905377875 is about 62493.0226105283. The cubic root of 3905377875 is about 1574.7840973893.

The spelling of 3905377875 in words is "three billion, nine hundred five million, three hundred seventy-seven thousand, eight hundred seventy-five".