3004124364081 has 27 divisors (see below), whose sum is σ = 4484023857963. Its totient is φ = 1938040756560.

The previous prime is 3004124364071. The next prime is 3004124364089. The reversal of 3004124364081 is 1804634214003.

The square root of 3004124364081 is 1733241.

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

3004124364081 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 1 + 2 + 4 + 3 + 640 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8054165025 + 2996070199056 = 89745^2 + 1730916^2 .

It is not a de Polignac number, because 3004124364081 - 2³⁵ = 2969764625713 is a prime.

It is a super-2 number, since 2×3004124364081² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3004124364089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161182095 + ... + 161200731.

Almost surely, 2^{3004124364081} is an apocalyptic number.

3004124364081 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3004124364081 is the 1733241-st square number.

3004124364081 is the 866621-st centered octagonal number.

It is an amenable number.

3004124364081 is a deficient number, since it is larger than the sum of its proper divisors (1479899493882).

3004124364081 is an frugal number, since it uses more digits than its factorization.

3004124364081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37342 (or 18671 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 3004124364081 by its sum of digits (36), we get a square (108148477106916 = 10399446²).

Adding to 3004124364081 its reverse (1804634214003), we get a palindrome (4808758578084).

The spelling of 3004124364081 in words is "three trillion, four billion, one hundred twenty-four million, three hundred sixty-four thousand, eighty-one".