34444400000 has 96 divisors (see below), whose sum is σ = 85770135360. Its totient is φ = 13777600000.

The previous prime is 34444399949. The next prime is 34444400027. The reversal of 34444400000 is 444443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356945 + ... + 443055.

It is an arithmetic number, because the mean of its divisors is an integer number (893438910).

Almost surely, 2^34444400000 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 34444400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42885067680).

34444400000 is an abundant number, since it is smaller than the sum of its proper divisors (51325735360).

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

34444400000 is an frugal number, since it uses more digits than its factorization.

34444400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86150 (or 86118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 34444400000 its reverse (444443), we get a palindrome (34444844443).

The spelling of 34444400000 in words is "thirty-four billion, four hundred forty-four million, four hundred thousand".