34441221200 has 120 divisors (see below), whose sum is σ = 86718610368. Its totient is φ = 13120138240.

The previous prime is 34441221197. The next prime is 34441221211. The reversal of 34441221200 is 212214443.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2135567 + ... + 2151633.

Almost surely, 2^34441221200 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 34441221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43359305184).

34441221200 is an abundant number, since it is smaller than the sum of its proper divisors (52277389168).

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

34441221200 is a wasteful number, since it uses less digits than its factorization.

34441221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16341 (or 16330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 34441221200 its reverse (212214443), we get a palindrome (34653435643).

The spelling of 34441221200 in words is "thirty-four billion, four hundred forty-one million, two hundred twenty-one thousand, two hundred".