3921346497121 has 9 divisors (see below), whose sum is σ = 3996837133779. Its totient is φ = 3847255854936.

The previous prime is 3921346497113. The next prime is 3921346497127. The reversal of 3921346497121 is 1217946431293.

The square root of 3921346497121 is 1980239.

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., 2826887382225 + 1094459114896 = 1681335^2 + 1046164^2 .

It is not a de Polignac number, because 3921346497121 - 2³ = 3921346497113 is a prime.

It is a super-2 number, since 2×3921346497121² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3921346497127) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 104933986 + ... + 104971348.

Almost surely, 2^{3921346497121} is an apocalyptic number.

3921346497121 is the 1980239-th square number.

3921346497121 is the 990120-th centered octagonal number.

It is an amenable number.

3921346497121 is a deficient number, since it is larger than the sum of its proper divisors (75490636658).

3921346497121 is an frugal number, since it uses more digits than its factorization.

3921346497121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74832 (or 37416 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The spelling of 3921346497121 in words is "three trillion, nine hundred twenty-one billion, three hundred forty-six million, four hundred ninety-seven thousand, one hundred twenty-one".