34343813412 has 72 divisors (see below), whose sum is σ = 89902612800. Its totient is φ = 11041426368.

The previous prime is 34343813411. The next prime is 34343813437. The reversal of 34343813412 is 21431834343.

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

It is not an unprimeable number, because it can be changed into a prime (34343813411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992539 + ... + 1026557.

It is an arithmetic number, because the mean of its divisors is an integer number (1248647400).

Almost surely, 2^34343813412 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 34343813412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44951306400).

34343813412 is an abundant number, since it is smaller than the sum of its proper divisors (55558799388).

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

34343813412 is a wasteful number, since it uses less digits than its factorization.

34343813412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35025 (or 35020 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 34343813412 in words is "thirty-four billion, three hundred forty-three million, eight hundred thirteen thousand, four hundred twelve".