3002341234401 has 24 divisors (see below), whose sum is σ = 4355678415816. Its totient is φ = 1992809917440.

The previous prime is 3002341234391. The next prime is 3002341234429. The reversal of 3002341234401 is 1044321432003.

3002341234401 is a `hidden beast` number, since 3 + 0 + 0 + 23 + 4 + 1 + 234 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 517178160801 + 2485163073600 = 719151^2 + 1576440^2 .

It is not a de Polignac number, because 3002341234401 - 2⁶ = 3002341234337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3002341234481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29628261 + ... + 29729421.

It is an arithmetic number, because the mean of its divisors is an integer number (181486600659).

Almost surely, 2^{3002341234401} is an apocalyptic number.

It is an amenable number.

3002341234401 is a deficient number, since it is larger than the sum of its proper divisors (1353337181415).

3002341234401 is a wasteful number, since it uses less digits than its factorization.

3002341234401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115553 (or 115550 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3002341234401 its reverse (1044321432003), we get a palindrome (4046662666404).

The spelling of 3002341234401 in words is "three trillion, two billion, three hundred forty-one million, two hundred thirty-four thousand, four hundred one".