34324142343300 has 54 divisors (see below), whose sum is σ = 107587117281098. Its totient is φ = 9153104624640.

The previous prime is 34324142343269. The next prime is 34324142343311. The reversal of 34324142343300 is 334324142343.

34324142343300 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 4 + 1 + 4 + 2 + 343 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3304076914944 + 31020065428356 = 1817712^2 + 5569566^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19068967069 + ... + 19068968868.

Almost surely, 2^{34324142343300} is an apocalyptic number.

34324142343300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34324142343300 is an abundant number, since it is smaller than the sum of its proper divisors (73262974937798).

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

34324142343300 is a wasteful number, since it uses less digits than its factorization.

34324142343300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38137935957 (or 38137935947 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 34324142343300 its reverse (334324142343), we get a palindrome (34658466485643).

The spelling of 34324142343300 in words is "thirty-four trillion, three hundred twenty-four billion, one hundred forty-two million, three hundred forty-three thousand, three hundred".