34444322200 has 96 divisors (see below), whose sum is σ = 85125913200. Its totient is φ = 12916490240.

The previous prime is 34444322161. The next prime is 34444322201. The reversal of 34444322200 is 222344443.

It is a happy number.

It is a super-2 number, since 2×34444322200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444322201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854091 + ... + 893509.

Almost surely, 2^34444322200 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 34444322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42562956600).

34444322200 is an abundant number, since it is smaller than the sum of its proper divisors (50681591000).

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

34444322200 is a wasteful number, since it uses less digits than its factorization.

34444322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39709 (or 39700 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 34444322200 its reverse (222344443), we get a palindrome (34666666643).

The spelling of 34444322200 in words is "thirty-four billion, four hundred forty-four million, three hundred twenty-two thousand, two hundred".