34344093312 has 160 divisors (see below), whose sum is σ = 102947090400. Its totient is φ = 11365194240.

The previous prime is 34344093257. The next prime is 34344093313. The reversal of 34344093312 is 21339044343.

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 (34344093313) 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 19 ways as a sum of consecutive naturals, for example, 1429237 + ... + 1453067.

It is an arithmetic number, because the mean of its divisors is an integer number (643419315).

Almost surely, 2^34344093312 is an apocalyptic number.

34344093312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34344093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51473545200).

34344093312 is an abundant number, since it is smaller than the sum of its proper divisors (68602997088).

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

34344093312 is a wasteful number, since it uses less digits than its factorization.

34344093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23996 (or 23975 counting only the distinct ones).

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

The spelling of 34344093312 in words is "thirty-four billion, three hundred forty-four million, ninety-three thousand, three hundred twelve".