34355354020 has 192 divisors, whose sum is σ = 81939211200. Its totient is φ = 12012134400.

The previous prime is 34355354017. The next prime is 34355354023. The reversal of 34355354020 is 2045355343.

It is an interprime number because it is at equal distance from previous prime (34355354017) and next prime (34355354023).

It can be written as a sum of positive squares in 32 ways, for example, as 925619776 + 33429734244 = 30424^2 + 182838^2 .

It is not an unprimeable number, because it can be changed into a prime (34355354023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150023266 + ... + 150023494.

It is an arithmetic number, because the mean of its divisors is an integer number (426766725).

Almost surely, 2^34355354020 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 34355354020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40969605600).

34355354020 is an abundant number, since it is smaller than the sum of its proper divisors (47583857180).

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

34355354020 is a wasteful number, since it uses less digits than its factorization.

34355354020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 34.

The spelling of 34355354020 in words is "thirty-four billion, three hundred fifty-five million, three hundred fifty-four thousand, twenty".