34132333014300 has 144 divisors (see below), whose sum is σ = 103958921203200. Its totient is φ = 8622489715200.

The previous prime is 34132333014293. The next prime is 34132333014349. The reversal of 34132333014300 is 341033323143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 128179696 + ... + 128445704.

It is an arithmetic number, because the mean of its divisors is an integer number (721936952800).

Almost surely, 2^{34132333014300} is an apocalyptic number.

34132333014300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34132333014300 is an abundant number, since it is smaller than the sum of its proper divisors (69826588188900).

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

34132333014300 is a wasteful number, since it uses less digits than its factorization.

34132333014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288556 (or 288549 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 34132333014300 its reverse (341033323143), we get a palindrome (34473366337443).

The spelling of 34132333014300 in words is "thirty-four trillion, one hundred thirty-two billion, three hundred thirty-three million, fourteen thousand, three hundred".