3444100010001 has 72 divisors (see below), whose sum is σ = 6046294947264. Its totient is φ = 1850240957760.

The previous prime is 3444100009991. The next prime is 3444100010003. The reversal of 3444100010001 is 1000100014443.

It is not a de Polignac number, because 3444100010001 - 2⁹ = 3444100009489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3444100010003) 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 71 ways as a sum of consecutive naturals, for example, 2401335 + ... + 3557331.

It is an arithmetic number, because the mean of its divisors is an integer number (83976318712).

Almost surely, 2^{3444100010001} is an apocalyptic number.

It is an amenable number.

3444100010001 is a deficient number, since it is larger than the sum of its proper divisors (2602194937263).

3444100010001 is a wasteful number, since it uses less digits than its factorization.

3444100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156179 (or 1156157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3444100010001 its reverse (1000100014443), we get a palindrome (4444200024444).

The spelling of 3444100010001 in words is "three trillion, four hundred forty-four billion, one hundred million, ten thousand, one".