34004404111200 has 576 divisors, whose sum is σ = 113961123521280. Its totient is φ = 8803429539840.

The previous prime is 34004404111159. The next prime is 34004404111207. The reversal of 34004404111200 is 211140440043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004404111207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5604810567 + ... + 5604816633.

It is an arithmetic number, because the mean of its divisors is an integer number (197849172780).

Almost surely, 2^{34004404111200} is an apocalyptic number.

34004404111200 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 34004404111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56980561760640).

34004404111200 is an abundant number, since it is smaller than the sum of its proper divisors (79956719410080).

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

34004404111200 is a wasteful number, since it uses less digits than its factorization.

34004404111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34004404111200 its reverse (211140440043), we get a palindrome (34215544551243).

The spelling of 34004404111200 in words is "thirty-four trillion, four billion, four hundred four million, one hundred eleven thousand, two hundred".