30444322000 has 80 divisors (see below), whose sum is σ = 73708010064. Its totient is φ = 12162240000.

The previous prime is 30444321997. The next prime is 30444322009. The reversal of 30444322000 is 22344403.

It can be written as a sum of positive squares in 8 ways, for example, as 13794032704 + 16650289296 = 117448^2 + 129036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30444322009) 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, 1632730 + ... + 1651270.

Almost surely, 2^30444322000 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 30444322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36854005032).

30444322000 is an abundant number, since it is smaller than the sum of its proper divisors (43263688064).

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

30444322000 is a wasteful number, since it uses less digits than its factorization.

30444322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19385 (or 19369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 30444322000 its reverse (22344403), we get a palindrome (30466666403).

The spelling of 30444322000 in words is "thirty billion, four hundred forty-four million, three hundred twenty-two thousand".