34444031440 has 160 divisors (see below), whose sum is σ = 103750859520. Its totient is φ = 10327191552.

The previous prime is 34444031417. The next prime is 34444031491. The reversal of 34444031440 is 4413044443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13812 + ... + 262828.

It is an arithmetic number, because the mean of its divisors is an integer number (648442872).

Almost surely, 2^34444031440 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 34444031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51875429760).

34444031440 is an abundant number, since it is smaller than the sum of its proper divisors (69306828080).

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

34444031440 is a wasteful number, since it uses less digits than its factorization.

34444031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249069 (or 249063 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 34444031440 its reverse (4413044443), we get a palindrome (38857075883).

The spelling of 34444031440 in words is "thirty-four billion, four hundred forty-four million, thirty-one thousand, four hundred forty".