3903875361 has 27 divisors (see below), whose sum is σ = 5752421779. Its totient is φ = 2551224192.

The previous prime is 3903875351. The next prime is 3903875363. The reversal of 3903875361 is 1635783093.

3903875361 = 1³ + 2³ + ... + 353³.

The square root of 3903875361 is 62481.

It is a perfect power (a square), and thus also a powerful number.

3903875361 is a `hidden beast` number, since 39 + 0 + 3 + 87 + 536 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1586030625 + 2317844736 = 39825^2 + 48144^2 .

It is not a de Polignac number, because 3903875361 - 2¹⁹ = 3903351073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3903875363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11058961 + ... + 11059313.

Almost surely, 2^3903875361 is an apocalyptic number.

3903875361 is the 62481-st square number.

3903875361 is the 31241-st centered octagonal number.

It is an amenable number.

3903875361 is a deficient number, since it is larger than the sum of its proper divisors (1848546418).

3903875361 is an frugal number, since it uses more digits than its factorization.

3903875361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The cubic root of 3903875361 is about 1574.5821161953.

The spelling of 3903875361 in words is "three billion, nine hundred three million, eight hundred seventy-five thousand, three hundred sixty-one".