34007070703340 has 192 divisors, whose sum is σ = 86536077788160. Its totient is φ = 10977738347520.

The previous prime is 34007070703337. The next prime is 34007070703423. The reversal of 34007070703340 is 4330707070043.

It is a junction number, because it is equal to n+sod(n) for n = 34007070703294 and 34007070703303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106858655 + ... + 107176425.

It is an arithmetic number, because the mean of its divisors is an integer number (450708738480).

Almost surely, 2^{34007070703340} 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 34007070703340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43268038894080).

34007070703340 is an abundant number, since it is smaller than the sum of its proper divisors (52529007084820).

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

34007070703340 is a wasteful number, since it uses less digits than its factorization.

34007070703340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318472 (or 318470 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 38.

Adding to 34007070703340 its reverse (4330707070043), we get a palindrome (38337777773383).

The spelling of 34007070703340 in words is "thirty-four trillion, seven billion, seventy million, seven hundred three thousand, three hundred forty".