34400846441 has 16 divisors (see below), whose sum is σ = 37928083200. Its totient is φ = 31002784128.

The previous prime is 34400846437. The next prime is 34400846449. The reversal of 34400846441 is 14464800443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34400846441 - 2² = 34400846437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34400846395 and 34400846404.

It is not an unprimeable number, because it can be changed into a prime (34400846449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181070 + ... + 318728.

It is an arithmetic number, because the mean of its divisors is an integer number (2370505200).

Almost surely, 2^34400846441 is an apocalyptic number.

It is an amenable number.

34400846441 is a deficient number, since it is larger than the sum of its proper divisors (3527236759).

34400846441 is a wasteful number, since it uses less digits than its factorization.

34400846441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138128.

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 34400846441 in words is "thirty-four billion, four hundred million, eight hundred forty-six thousand, four hundred forty-one".