34100003441 has 32 divisors (see below), whose sum is σ = 41364750336. Its totient is φ = 27492048000.

The previous prime is 34100003417. The next prime is 34100003449. The reversal of 34100003441 is 14430000143.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34100003441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34100003449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2404016 + ... + 2418158.

It is an arithmetic number, because the mean of its divisors is an integer number (1292648448).

Almost surely, 2^34100003441 is an apocalyptic number.

34100003441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34100003441 is a deficient number, since it is larger than the sum of its proper divisors (7264746895).

34100003441 is a wasteful number, since it uses less digits than its factorization.

34100003441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14493.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34100003441 its reverse (14430000143), we get a palindrome (48530003584).

The spelling of 34100003441 in words is "thirty-four billion, one hundred million, three thousand, four hundred forty-one".