34412313012 has 96 divisors (see below), whose sum is σ = 100340911104. Its totient is φ = 8917516800.

The previous prime is 34412312903. The next prime is 34412313043. The reversal of 34412313012 is 21031321443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357087 + ... + 443097.

It is an arithmetic number, because the mean of its divisors is an integer number (1045217824).

Almost surely, 2^34412313012 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 34412313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50170455552).

34412313012 is an abundant number, since it is smaller than the sum of its proper divisors (65928598092).

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

34412313012 is a wasteful number, since it uses less digits than its factorization.

34412313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86469 (or 86467 counting only the distinct ones).

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

Adding to 34412313012 its reverse (21031321443), we get a palindrome (55443634455).

The spelling of 34412313012 in words is "thirty-four billion, four hundred twelve million, three hundred thirteen thousand, twelve".