34000410015 has 128 divisors (see below), whose sum is σ = 71266728960. Its totient is φ = 15162508800.

The previous prime is 34000410011. The next prime is 34000410029. The reversal of 34000410015 is 51001400043.

It is a happy number.

It is not a de Polignac number, because 34000410015 - 2² = 34000410011 is a prime.

It is a super-2 number, since 2×34000410015² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34000410015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000410011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5653360 + ... + 5659370.

It is an arithmetic number, because the mean of its divisors is an integer number (556771320).

Almost surely, 2^34000410015 is an apocalyptic number.

34000410015 is an abundant number, since it is smaller than the sum of its proper divisors (37266318945).

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

34000410015 is a wasteful number, since it uses less digits than its factorization.

34000410015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 34000410015 its reverse (51001400043), we get a palindrome (85001810058).

The spelling of 34000410015 in words is "thirty-four billion, four hundred ten thousand, fifteen".