34024403300 has 72 divisors (see below), whose sum is σ = 74469061800. Its totient is φ = 13492864000.

The previous prime is 34024403251. The next prime is 34024403317. The reversal of 34024403300 is 330442043.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 27261972544 + 6762430756 = 165112^2 + 82234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9191450 + ... + 9195150.

It is an arithmetic number, because the mean of its divisors is an integer number (1034292525).

Almost surely, 2^34024403300 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 34024403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234530900).

34024403300 is an abundant number, since it is smaller than the sum of its proper divisors (40444658500).

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

34024403300 is a wasteful number, since it uses less digits than its factorization.

34024403300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 34024403300 its reverse (330442043), we get a palindrome (34354845343).

The spelling of 34024403300 in words is "thirty-four billion, twenty-four million, four hundred three thousand, three hundred".