34145255034 has 144 divisors (see below), whose sum is σ = 85432355424. Its totient is φ = 9773265600.

The previous prime is 34145255033. The next prime is 34145255119. The reversal of 34145255034 is 43055254143.

34145255034 is a `hidden beast` number, since 3 + 4 + 145 + 2 + 5 + 503 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34145255034.

It is not an unprimeable number, because it can be changed into a prime (34145255033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38669157 + ... + 38670039.

It is an arithmetic number, because the mean of its divisors is an integer number (593280246).

Almost surely, 2^34145255034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34145255034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42716177712).

34145255034 is an abundant number, since it is smaller than the sum of its proper divisors (51287100390).

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

34145255034 is a wasteful number, since it uses less digits than its factorization.

34145255034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34145255034 in words is "thirty-four billion, one hundred forty-five million, two hundred fifty-five thousand, thirty-four".