34034340340 has 288 divisors, whose sum is σ = 102388430592. Its totient is φ = 9215078400.

The previous prime is 34034340331. The next prime is 34034340401. The reversal of 34034340340 is 4304343043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34034340299 and 34034340308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3739195 + ... + 3748285.

It is an arithmetic number, because the mean of its divisors is an integer number (355515384).

Almost surely, 2^34034340340 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 34034340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51194215296).

34034340340 is an abundant number, since it is smaller than the sum of its proper divisors (68354090252).

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

34034340340 is a wasteful number, since it uses less digits than its factorization.

34034340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 34034340340 its reverse (4304343043), we get a palindrome (38338683383).

The spelling of 34034340340 in words is "thirty-four billion, thirty-four million, three hundred forty thousand, three hundred forty".