34342311112000 has 112 divisors (see below), whose sum is σ = 85055023125072. Its totient is φ = 13735908556800.

The previous prime is 34342311111967. The next prime is 34342311112009. The reversal of 34342311112000 is 21111324343.

It can be written as a sum of positive squares in 8 ways, for example, as 6239844129024 + 28102466982976 = 2497968^2 + 5301176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342311112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113072344 + ... + 113375656.

It is an arithmetic number, because the mean of its divisors is an integer number (759419849331).

Almost surely, 2^{34342311112000} 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 34342311112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42527511562536).

34342311112000 is an abundant number, since it is smaller than the sum of its proper divisors (50712712013072).

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

34342311112000 is a wasteful number, since it uses less digits than its factorization.

34342311112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317493 (or 317473 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 34342311112000 its reverse (21111324343), we get a palindrome (34363422436343).

The spelling of 34342311112000 in words is "thirty-four trillion, three hundred forty-two billion, three hundred eleven million, one hundred twelve thousand".