34145453034 has 192 divisors, whose sum is σ = 95355816192. Its totient is φ = 8572262400.

The previous prime is 34145453021. The next prime is 34145453101. The reversal of 34145453034 is 43035454143.

34145453034 is a `hidden beast` number, since 3 + 41 + 4 + 54 + 530 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34145453034.

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, 8049154 + ... + 8053394.

It is an arithmetic number, because the mean of its divisors is an integer number (496644876).

Almost surely, 2^34145453034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34145453034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47677908096).

34145453034 is an abundant number, since it is smaller than the sum of its proper divisors (61210363158).

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

34145453034 is a wasteful number, since it uses less digits than its factorization.

34145453034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34145453034 in words is "thirty-four billion, one hundred forty-five million, four hundred fifty-three thousand, thirty-four".