34350304040 has 256 divisors, whose sum is σ = 94123814400. Its totient is φ = 11149737984.

The previous prime is 34350304031. The next prime is 34350304061. The reversal of 34350304040 is 4040305343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 63 ways as a sum of consecutive naturals, for example, 8740796 + ... + 8744724.

It is an arithmetic number, because the mean of its divisors is an integer number (367671150).

Almost surely, 2^34350304040 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 34350304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47061907200).

34350304040 is an abundant number, since it is smaller than the sum of its proper divisors (59773510360).

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

34350304040 is a wasteful number, since it uses less digits than its factorization.

34350304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 34350304040 its reverse (4040305343), we get a palindrome (38390609383).

The spelling of 34350304040 in words is "thirty-four billion, three hundred fifty million, three hundred four thousand, forty".