34034204300200 has 192 divisors, whose sum is σ = 85373054524800. Its totient is φ = 12543399244800.

The previous prime is 34034204300179. The next prime is 34034204300231. The reversal of 34034204300200 is 200340243043.

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 47 ways as a sum of consecutive naturals, for example, 3479619310 + ... + 3479629090.

It is an arithmetic number, because the mean of its divisors is an integer number (444651325650).

Almost surely, 2^{34034204300200} 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 34034204300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42686527262400).

34034204300200 is an abundant number, since it is smaller than the sum of its proper divisors (51338850224600).

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

34034204300200 is a wasteful number, since it uses less digits than its factorization.

34034204300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12132 (or 12123 counting only the distinct ones).

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

Adding to 34034204300200 its reverse (200340243043), we get a palindrome (34234544543243).

The spelling of 34034204300200 in words is "thirty-four trillion, thirty-four billion, two hundred four million, three hundred thousand, two hundred".