34342500312 has 256 divisors, whose sum is σ = 100590336000. Its totient is φ = 10845978624.

The previous prime is 34342500289. The next prime is 34342500317. The reversal of 34342500312 is 21300524343.

34342500312 is a `hidden beast` number, since 3 + 4 + 342 + 5 + 0 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34342500317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44658264 + ... + 44659032.

It is an arithmetic number, because the mean of its divisors is an integer number (392931000).

Almost surely, 2^34342500312 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 34342500312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50295168000).

34342500312 is an abundant number, since it is smaller than the sum of its proper divisors (66247835688).

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

34342500312 is a wasteful number, since it uses less digits than its factorization.

34342500312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 34342500312 in words is "thirty-four billion, three hundred forty-two million, five hundred thousand, three hundred twelve".