34312134120 has 256 divisors, whose sum is σ = 115378421760. Its totient is φ = 8090880000.

The previous prime is 34312134113. The next prime is 34312134151. The reversal of 34312134120 is 2143121343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23324985 + ... + 23326455.

It is an arithmetic number, because the mean of its divisors is an integer number (450696960).

Almost surely, 2^34312134120 is an apocalyptic number.

34312134120 is a gapful number since it is divisible by the number (30) 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 34312134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57689210880).

34312134120 is an abundant number, since it is smaller than the sum of its proper divisors (81066287640).

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

34312134120 is a wasteful number, since it uses less digits than its factorization.

34312134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34312134120 its reverse (2143121343), we get a palindrome (36455255463).

The spelling of 34312134120 in words is "thirty-four billion, three hundred twelve million, one hundred thirty-four thousand, one hundred twenty".