34032400314 has 16 divisors (see below), whose sum is σ = 74252509920. Its totient is φ = 10312848560.

The previous prime is 34032400273. The next prime is 34032400343. The reversal of 34032400314 is 41300423043.

It is a super-2 number, since 2×34032400314² (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 7 ways as a sum of consecutive naturals, for example, 257821149 + ... + 257821280.

It is an arithmetic number, because the mean of its divisors is an integer number (4640781870).

Almost surely, 2^34032400314 is an apocalyptic number.

34032400314 is an abundant number, since it is smaller than the sum of its proper divisors (40220109606).

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

34032400314 is a wasteful number, since it uses less digits than its factorization.

34032400314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515642445.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34032400314 its reverse (41300423043), we get a palindrome (75332823357).

The spelling of 34032400314 in words is "thirty-four billion, thirty-two million, four hundred thousand, three hundred fourteen".