34311343431132 has 72 divisors (see below), whose sum is σ = 92036322967680. Its totient is φ = 10754427451680.

The previous prime is 34311343431121. The next prime is 34311343431149. The reversal of 34311343431132 is 23113434311343.

34311343431132 is a `hidden beast` number, since 3 + 43 + 1 + 13 + 43 + 431 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351127594 + ... + 351225297.

It is an arithmetic number, because the mean of its divisors is an integer number (1278282263440).

Almost surely, 2^{34311343431132} is an apocalyptic number.

It is an amenable number.

34311343431132 is an abundant number, since it is smaller than the sum of its proper divisors (57724979536548).

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

34311343431132 is a wasteful number, since it uses less digits than its factorization.

34311343431132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702352983 (or 702352978 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 34311343431132 its reverse (23113434311343), we get a palindrome (57424777742475).

The spelling of 34311343431132 in words is "thirty-four trillion, three hundred eleven billion, three hundred forty-three million, four hundred thirty-one thousand, one hundred thirty-two".