34203412300200 has 384 divisors, whose sum is σ = 127217777541120. Its totient is φ = 7491060403200.

The previous prime is 34203412300159. The next prime is 34203412300201. The reversal of 34203412300200 is 200321430243.

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

It is not an unprimeable number, because it can be changed into a prime (34203412300201) 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, 208264 + ... + 8273463.

It is an arithmetic number, because the mean of its divisors is an integer number (331296295680).

Almost surely, 2^{34203412300200} is an apocalyptic number.

34203412300200 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 34203412300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63608888770560).

34203412300200 is an abundant number, since it is smaller than the sum of its proper divisors (93014365240920).

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

34203412300200 is a wasteful number, since it uses less digits than its factorization.

34203412300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481817 (or 8481808 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34203412300200 its reverse (200321430243), we get a palindrome (34403733730443).

The spelling of 34203412300200 in words is "thirty-four trillion, two hundred three billion, four hundred twelve million, three hundred thousand, two hundred".