34321140120114 has 64 divisors (see below), whose sum is σ = 76495223201280. Its totient is φ = 11406524023440.

The previous prime is 34321140120101. The next prime is 34321140120131. The reversal of 34321140120114 is 41102104112343.

It is a happy number.

34321140120114 is a `hidden beast` number, since 3 + 4 + 32 + 11 + 401 + 201 + 14 = 666.

It is a super-3 number, since 3×34321140120114³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25424109 + ... + 26739999.

It is an arithmetic number, because the mean of its divisors is an integer number (1195237862520).

Almost surely, 2^{34321140120114} is an apocalyptic number.

34321140120114 is an abundant number, since it is smaller than the sum of its proper divisors (42174083081166).

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

34321140120114 is a wasteful number, since it uses less digits than its factorization.

34321140120114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317332 (or 1317326 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34321140120114 its reverse (41102104112343), we get a palindrome (75423244232457).

The spelling of 34321140120114 in words is "thirty-four trillion, three hundred twenty-one billion, one hundred forty million, one hundred twenty thousand, one hundred fourteen".