34311012400344 has 128 divisors (see below), whose sum is σ = 90718290432000. Its totient is φ = 10796434790400.

The previous prime is 34311012400337. The next prime is 34311012400369. The reversal of 34311012400344 is 44300421011343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203652012 + ... + 203820420.

It is an arithmetic number, because the mean of its divisors is an integer number (708736644000).

Almost surely, 2^{34311012400344} 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 34311012400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45359145216000).

34311012400344 is an abundant number, since it is smaller than the sum of its proper divisors (56407278031656).

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

34311012400344 is a wasteful number, since it uses less digits than its factorization.

34311012400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175169 (or 175165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34311012400344 its reverse (44300421011343), we get a palindrome (78611433411687).

The spelling of 34311012400344 in words is "thirty-four trillion, three hundred eleven billion, twelve million, four hundred thousand, three hundred forty-four".