34320040000000 has 160 divisors (see below), whose sum is σ = 85716191308176. Its totient is φ = 13728000000000.

The previous prime is 34320039999989. The next prime is 34320040000007. The reversal of 34320040000000 is 4002343.

It can be written as a sum of positive squares in 8 ways, for example, as 23017426331904 + 11302613668096 = 4797648^2 + 3361936^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (34320040000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39571000 + ... + 40429000.

Almost surely, 2^{34320040000000} 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 34320040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42858095654088).

34320040000000 is an abundant number, since it is smaller than the sum of its proper divisors (51396151308176).

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

34320040000000 is an frugal number, since it uses more digits than its factorization.

34320040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858054 (or 858008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 34320040000000 its reverse (4002343), we get a palindrome (34320044002343).

The spelling of 34320040000000 in words is "thirty-four trillion, three hundred twenty billion, forty million", and thus it is an aban number.