3634242764161 has 9 divisors (see below), whose sum is σ = 3653161851049. Its totient is φ = 3615421183024.

The previous prime is 3634242764137. The next prime is 3634242764167. The reversal of 3634242764161 is 1614672424363.

The square root of 3634242764161 is 1906369.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1977873764161 + 1656369000000 = 1406369^2 + 1287000^2 .

It is not a de Polignac number, because 3634242764161 - 2¹¹ = 3634242762113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3634242764167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 375549855 + ... + 375559531.

Almost surely, 2^{3634242764161} is an apocalyptic number.

3634242764161 is the 1906369-th square number.

3634242764161 is the 953185-th centered octagonal number.

It is an amenable number.

3634242764161 is a deficient number, since it is larger than the sum of its proper divisors (18919086888).

3634242764161 is an frugal number, since it uses more digits than its factorization.

3634242764161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19748 (or 9874 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 49.

Multiplying 3634242764161 by its sum of digits (49), we get a square (178077895443889 = 13344583²).

The spelling of 3634242764161 in words is "three trillion, six hundred thirty-four billion, two hundred forty-two million, seven hundred sixty-four thousand, one hundred sixty-one".