34314013200 has 120 divisors (see below), whose sum is σ = 110026904256. Its totient is φ = 9141440000.

The previous prime is 34314013169. The next prime is 34314013207. The reversal of 34314013200 is 231041343.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (34314013207) by changing a digit.

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, 1259725 + ... + 1286675.

Almost surely, 2^34314013200 is an apocalyptic number.

34314013200 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 34314013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55013452128).

34314013200 is an abundant number, since it is smaller than the sum of its proper divisors (75712891056).

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

34314013200 is a wasteful number, since it uses less digits than its factorization.

34314013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28033 (or 28022 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34314013200 its reverse (231041343), we get a palindrome (34545054543).

The spelling of 34314013200 in words is "thirty-four billion, three hundred fourteen million, thirteen thousand, two hundred".