334000300200 has 96 divisors (see below), whose sum is σ = 1183315364160. Its totient is φ = 76342924800.

The previous prime is 334000300087. The next prime is 334000300213. The reversal of 334000300200 is 2003000433.

It is a super-2 number, since 2×334000300200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 334000300200.

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 23 ways as a sum of consecutive naturals, for example, 39757741 + ... + 39766140.

It is an arithmetic number, because the mean of its divisors is an integer number (12326201710).

Almost surely, 2^334000300200 is an apocalyptic number.

334000300200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334000300200 is an abundant number, since it is smaller than the sum of its proper divisors (849315063960).

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

334000300200 is a wasteful number, since it uses less digits than its factorization.

334000300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79523907 (or 79523898 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 334000300200 its reverse (2003000433), we get a palindrome (336003300633).

The spelling of 334000300200 in words is "three hundred thirty-four billion, three hundred thousand, two hundred".