34200103040 has 64 divisors (see below), whose sum is σ = 81964125720. Its totient is φ = 13645824000.

The previous prime is 34200103031. The next prime is 34200103043. The reversal of 34200103040 is 4030100243.

It can be written as a sum of positive squares in 4 ways, for example, as 32018092096 + 2182010944 = 178936^2 + 46712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34200103043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 190010 + ... + 323270.

Almost surely, 2^34200103040 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 34200103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40982062860).

34200103040 is an abundant number, since it is smaller than the sum of its proper divisors (47764022680).

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

34200103040 is a wasteful number, since it uses less digits than its factorization.

34200103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133681 (or 133669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 34200103040 its reverse (4030100243), we get a palindrome (38230203283).

The spelling of 34200103040 in words is "thirty-four billion, two hundred million, one hundred three thousand, forty".