34134212000 has 192 divisors, whose sum is σ = 96092365824. Its totient is φ = 11673446400.

The previous prime is 34134211927. The next prime is 34134212009. The reversal of 34134212000 is 21243143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34134212009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12962684 + ... + 12965316.

It is an arithmetic number, because the mean of its divisors is an integer number (500481072).

Almost surely, 2^34134212000 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 34134212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48046182912).

34134212000 is an abundant number, since it is smaller than the sum of its proper divisors (61958153824).

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

34134212000 is a wasteful number, since it uses less digits than its factorization.

34134212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34134212000 its reverse (21243143), we get a palindrome (34155455143).

The spelling of 34134212000 in words is "thirty-four billion, one hundred thirty-four million, two hundred twelve thousand".