34111312000 has 128 divisors (see below), whose sum is σ = 85133018880. Its totient is φ = 13592448000.

The previous prime is 34111311991. The next prime is 34111312003. The reversal of 34111312000 is 21311143.

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

It is a super-2 number, since 2×34111312000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (34111312003) 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, 4332067 + ... + 4339933.

It is an arithmetic number, because the mean of its divisors is an integer number (665101710).

Almost surely, 2^34111312000 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 34111312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42566509440).

34111312000 is an abundant number, since it is smaller than the sum of its proper divisors (51021706880).

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

34111312000 is an equidigital number, since it uses as much as digits as its factorization.

34111312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 34111312000 its reverse (21311143), we get a palindrome (34132623143).

The spelling of 34111312000 in words is "thirty-four billion, one hundred eleven million, three hundred twelve thousand".