34010411345 has 16 divisors (see below), whose sum is σ = 42237311760. Its totient is φ = 26259227904.

The previous prime is 34010411341. The next prime is 34010411353. The reversal of 34010411345 is 54311401043.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 707081281 + 33303330064 = 26591^2 + 182492^2 .

It is a cyclic number.

It is not a de Polignac number, because 34010411345 - 2² = 34010411341 is a prime.

It is a super-2 number, since 2×34010411345² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34010411341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311819 + ... + 406511.

It is an arithmetic number, because the mean of its divisors is an integer number (2639831985).

Almost surely, 2^34010411345 is an apocalyptic number.

It is an amenable number.

34010411345 is a deficient number, since it is larger than the sum of its proper divisors (8226900415).

34010411345 is a wasteful number, since it uses less digits than its factorization.

34010411345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97204.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 34010411345 its reverse (54311401043), we get a palindrome (88321812388).

The spelling of 34010411345 in words is "thirty-four billion, ten million, four hundred eleven thousand, three hundred forty-five".