3872577105 has 24 divisors (see below), whose sum is σ = 6716734440. Its totient is φ = 2064061440.

The previous prime is 3872577083. The next prime is 3872577193. The reversal of 3872577105 is 5017752783.

3872577105 is a `hidden beast` number, since 3 + 8 + 72 + 577 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 157552704 + 3715024401 = 12552^2 + 60951^2 .

It is not a de Polignac number, because 3872577105 - 2¹² = 3872573009 is a prime.

It is a super-3 number, since 3×3872577105³ (a number of 30 digits) contains 333 as substring.

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

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 46401 + ... + 99489.

It is an arithmetic number, because the mean of its divisors is an integer number (279863935).

Almost surely, 2^3872577105 is an apocalyptic number.

It is an amenable number.

3872577105 is a deficient number, since it is larger than the sum of its proper divisors (2844157335).

3872577105 is a wasteful number, since it uses less digits than its factorization.

3872577105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54721 (or 54718 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 3872577105 is about 62230.0337859462. The cubic root of 3872577105 is about 1570.3628929755.

The spelling of 3872577105 in words is "three billion, eight hundred seventy-two million, five hundred seventy-seven thousand, one hundred five".