34311342301312 has 128 divisors (see below), whose sum is σ = 71764392960000. Its totient is φ = 16317870428160.

The previous prime is 34311342301277. The next prime is 34311342301331. The reversal of 34311342301312 is 21310324311343.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337032114 + ... + 337133902.

It is an arithmetic number, because the mean of its divisors is an integer number (560659320000).

Almost surely, 2^{34311342301312} is an apocalyptic number.

34311342301312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34311342301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35882196480000).

34311342301312 is an abundant number, since it is smaller than the sum of its proper divisors (37453050658688).

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

34311342301312 is a wasteful number, since it uses less digits than its factorization.

34311342301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103182 (or 103170 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 34311342301312 its reverse (21310324311343), we get a palindrome (55621666612655).

The spelling of 34311342301312 in words is "thirty-four trillion, three hundred eleven billion, three hundred forty-two million, three hundred one thousand, three hundred twelve".