34440322400000 has 216 divisors, whose sum is σ = 93738722869008. Its totient is φ = 12523750400000.

The previous prime is 34440322399963. The next prime is 34440322400017. The reversal of 34440322400000 is 422304443.

It is a super-2 number, since 2×34440322400000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6843164 + ... + 10756836.

It is an arithmetic number, because the mean of its divisors is an integer number (433975568838).

Almost surely, 2^{34440322400000} 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 34440322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46869361434504).

34440322400000 is an abundant number, since it is smaller than the sum of its proper divisors (59298400469008).

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

34440322400000 is an frugal number, since it uses more digits than its factorization.

34440322400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913725 (or 3913691 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 34440322400000 its reverse (422304443), we get a palindrome (34440744704443).

The spelling of 34440322400000 in words is "thirty-four trillion, four hundred forty billion, three hundred twenty-two million, four hundred thousand".