34401363603112 has 128 divisors (see below), whose sum is σ = 72753384453120. Its totient is φ = 15108194304000.

The previous prime is 34401363603073. The next prime is 34401363603133. The reversal of 34401363603112 is 21130636310443.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7677159912 + ... + 7677164392.

It is an arithmetic number, because the mean of its divisors is an integer number (568385816040).

Almost surely, 2^{34401363603112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401363603112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36376692226560).

34401363603112 is an abundant number, since it is smaller than the sum of its proper divisors (38352020850008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34401363603112 is a wasteful number, since it uses less digits than its factorization.

34401363603112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

Adding to 34401363603112 its reverse (21130636310443), we get a palindrome (55531999913555).

The spelling of 34401363603112 in words is "thirty-four trillion, four hundred one billion, three hundred sixty-three million, six hundred three thousand, one hundred twelve".