34144200000 has 336 divisors, whose sum is σ = 125483843520. Its totient is φ = 9103680000.

The previous prime is 34144199989. The next prime is 34144200043. The reversal of 34144200000 is 244143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5396839 + ... + 5403161.

It is an arithmetic number, because the mean of its divisors is an integer number (373463820).

Almost surely, 2^34144200000 is an apocalyptic number.

34144200000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741921760).

34144200000 is an abundant number, since it is smaller than the sum of its proper divisors (91339643520).

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

34144200000 is an frugal number, since it uses more digits than its factorization.

34144200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34144200000 its reverse (244143), we get a palindrome (34144444143).

The spelling of 34144200000 in words is "thirty-four billion, one hundred forty-four million, two hundred thousand".