34112320000 has 300 divisors, whose sum is σ = 93723153678. Its totient is φ = 12390400000.

The previous prime is 34112319991. The next prime is 34112320009. The reversal of 34112320000 is 2321143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34112319991) and next prime (34112320009).

It can be written as a sum of positive squares in 5 ways, for example, as 156150016 + 33956169984 = 12496^2 + 184272^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112320009) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 38719560 + ... + 38720440.

Almost surely, 2^34112320000 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 34112320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46861576839).

34112320000 is an abundant number, since it is smaller than the sum of its proper divisors (59610833678).

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

34112320000 is an frugal number, since it uses more digits than its factorization.

34112320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34112320000 its reverse (2321143), we get a palindrome (34114641143).

The spelling of 34112320000 in words is "thirty-four billion, one hundred twelve million, three hundred twenty thousand".