34434304000 has 192 divisors, whose sum is σ = 88719321600. Its totient is φ = 13326336000.

The previous prime is 34434303971. The next prime is 34434304081. The reversal of 34434304000 is 40343443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7933831 + ... + 7938169.

It is an arithmetic number, because the mean of its divisors is an integer number (462079800).

Almost surely, 2^34434304000 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 34434304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44359660800).

34434304000 is an abundant number, since it is smaller than the sum of its proper divisors (54285017600).

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

34434304000 is an equidigital number, since it uses as much as digits as its factorization.

34434304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 34434304000 its reverse (40343443), we get a palindrome (34474647443).

The spelling of 34434304000 in words is "thirty-four billion, four hundred thirty-four million, three hundred four thousand".