34400104401 has 32 divisors (see below), whose sum is σ = 52495309440. Its totient is φ = 19849872384.

The previous prime is 34400104391. The next prime is 34400104433. The reversal of 34400104401 is 10440100443.

34400104401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34400104401 - 2¹³ = 34400096209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34400104481) 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, 81906 + ... + 274788.

It is an arithmetic number, because the mean of its divisors is an integer number (1640478420).

Almost surely, 2^34400104401 is an apocalyptic number.

It is an amenable number.

34400104401 is a deficient number, since it is larger than the sum of its proper divisors (18095205039).

34400104401 is a wasteful number, since it uses less digits than its factorization.

34400104401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193185.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34400104401 its reverse (10440100443), we get a palindrome (44840204844).

The spelling of 34400104401 in words is "thirty-four billion, four hundred million, one hundred four thousand, four hundred one".