34313216340 has 96 divisors (see below), whose sum is σ = 103654615680. Its totient is φ = 8431059456.

The previous prime is 34313216339. The next prime is 34313216363. The reversal of 34313216340 is 4361231343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34313216298 and 34313216307.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 394971 + ... + 473949.

It is an arithmetic number, because the mean of its divisors is an integer number (1079735580).

Almost surely, 2^34313216340 is an apocalyptic number.

34313216340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313216340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51827307840).

34313216340 is an abundant number, since it is smaller than the sum of its proper divisors (69341399340).

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

34313216340 is a wasteful number, since it uses less digits than its factorization.

34313216340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79561 (or 79559 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 34313216340 its reverse (4361231343), we get a palindrome (38674447683).

The spelling of 34313216340 in words is "thirty-four billion, three hundred thirteen million, two hundred sixteen thousand, three hundred forty".