34400611112 has 96 divisors (see below), whose sum is σ = 79961022720. Its totient is φ = 13801898880.

The previous prime is 34400611109. The next prime is 34400611127. The reversal of 34400611112 is 21111600443.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383162 + ... + 464342.

It is an arithmetic number, because the mean of its divisors is an integer number (832927320).

Almost surely, 2^34400611112 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 34400611112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39980511360).

34400611112 is an abundant number, since it is smaller than the sum of its proper divisors (45560411608).

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

34400611112 is a wasteful number, since it uses less digits than its factorization.

34400611112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81271 (or 81260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 34400611112 in words is "thirty-four billion, four hundred million, six hundred eleven thousand, one hundred twelve".