34301244312 has 384 divisors, whose sum is σ = 108396288000. Its totient is φ = 10111288320.

The previous prime is 34301244311. The next prime is 34301244349. The reversal of 34301244312 is 21344210343.

34301244312 is a `hidden beast` number, since 3 + 4 + 301 + 2 + 44 + 312 = 666.

It is a super-2 number, since 2×34301244312² (a number of 22 digits) contains 22 as substring.

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 (34301244311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33204948 + ... + 33205980.

It is an arithmetic number, because the mean of its divisors is an integer number (282282000).

Almost surely, 2^34301244312 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 34301244312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54198144000).

34301244312 is an abundant number, since it is smaller than the sum of its proper divisors (74095043688).

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

34301244312 is a wasteful number, since it uses less digits than its factorization.

34301244312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34301244312 its reverse (21344210343), we get a palindrome (55645454655).

The spelling of 34301244312 in words is "thirty-four billion, three hundred one million, two hundred forty-four thousand, three hundred twelve".