34510200340 has 96 divisors (see below), whose sum is σ = 91369555200. Its totient is φ = 10635525120.

The previous prime is 34510200331. The next prime is 34510200377. The reversal of 34510200340 is 4300201543.

It is a super-2 number, since 2×34510200340² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11166 + ... + 262954.

It is an arithmetic number, because the mean of its divisors is an integer number (951766200).

Almost surely, 2^34510200340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34510200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45684777600).

34510200340 is an abundant number, since it is smaller than the sum of its proper divisors (56859354860).

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

34510200340 is a wasteful number, since it uses less digits than its factorization.

34510200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251905 (or 251903 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 34510200340 its reverse (4300201543), we get a palindrome (38810401883).

The spelling of 34510200340 in words is "thirty-four billion, five hundred ten million, two hundred thousand, three hundred forty".