3904875121 has 27 divisors (see below), whose sum is σ = 4641706251. Its totient is φ = 3275423424.

The previous prime is 3904875067. The next prime is 3904875151. The reversal of 3904875121 is 1215784093.

The square root of 3904875121 is 62489.

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

It can be written as a sum of positive squares in only one way, i.e., 68807025 + 3836068096 = 8295^2 + 61936^2 .

It is not a de Polignac number, because 3904875121 - 2¹¹ = 3904873073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3904875151) 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 26 ways as a sum of consecutive naturals, for example, 34556361 + ... + 34556473.

Almost surely, 2^3904875121 is an apocalyptic number.

3904875121 is the 62489-th square number.

3904875121 is the 31245-th centered octagonal number.

It is an amenable number.

3904875121 is a deficient number, since it is larger than the sum of its proper divisors (736831130).

3904875121 is an frugal number, since it uses more digits than its factorization.

3904875121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The cubic root of 3904875121 is about 1574.7165185271.

The spelling of 3904875121 in words is "three billion, nine hundred four million, eight hundred seventy-five thousand, one hundred twenty-one".