34044320000 has 90 divisors (see below), whose sum is σ = 84917784798. Its totient is φ = 13617664000.

The previous prime is 34044319957. The next prime is 34044320069. The reversal of 34044320000 is 2344043.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 3338066176 + 30706253824 = 57776^2 + 175232^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 53612 + ... + 266388.

Almost surely, 2^34044320000 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 34044320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42458892399).

34044320000 is an abundant number, since it is smaller than the sum of its proper divisors (50873464798).

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

34044320000 is an frugal number, since it uses more digits than its factorization.

34044320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212813 (or 212784 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34044320000 its reverse (2344043), we get a palindrome (34046664043).

The spelling of 34044320000 in words is "thirty-four billion, forty-four million, three hundred twenty thousand".