34016890340 has 48 divisors (see below), whose sum is σ = 72638361264. Its totient is φ = 13377830400.

The previous prime is 34016890319. The next prime is 34016890357. The reversal of 34016890340 is 4309861043.

It can be written as a sum of positive squares in 8 ways, for example, as 387932416 + 33628957924 = 19696^2 + 183382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34016890294 and 34016890303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3700550 + ... + 3709730.

It is an arithmetic number, because the mean of its divisors is an integer number (1513299193).

Almost surely, 2^34016890340 is an apocalyptic number.

It is an amenable number.

34016890340 is an abundant number, since it is smaller than the sum of its proper divisors (38621470924).

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

34016890340 is a wasteful number, since it uses less digits than its factorization.

34016890340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12288 (or 12286 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 34016890340 in words is "thirty-four billion, sixteen million, eight hundred ninety thousand, three hundred forty".