34200314144 has 24 divisors (see below), whose sum is σ = 67336058160. Its totient is φ = 17099093056.

The previous prime is 34200314131. The next prime is 34200314153. The reversal of 34200314144 is 44141300243.

It is a super-2 number, since 2×34200314144² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 850067 + ... + 889389.

It is an arithmetic number, because the mean of its divisors is an integer number (2805669090).

Almost surely, 2^34200314144 is an apocalyptic number.

It is an amenable number.

34200314144 is a deficient number, since it is larger than the sum of its proper divisors (33135744016).

34200314144 is a wasteful number, since it uses less digits than its factorization.

34200314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66512 (or 66504 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34200314144 its reverse (44141300243), we get a palindrome (78341614387).

The spelling of 34200314144 in words is "thirty-four billion, two hundred million, three hundred fourteen thousand, one hundred forty-four".