34834505382 has 64 divisors (see below), whose sum is σ = 80893931520. Its totient is φ = 11236893480.

The previous prime is 34834505359. The next prime is 34834505429. The reversal of 34834505382 is 28350543843.

34834505382 is a `hidden beast` number, since 3 + 483 + 45 + 0 + 53 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7143 + ... + 264045.

It is an arithmetic number, because the mean of its divisors is an integer number (1263967680).

Almost surely, 2^34834505382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34834505382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40446965760).

34834505382 is an abundant number, since it is smaller than the sum of its proper divisors (46059426138).

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

34834505382 is an equidigital number, since it uses as much as digits as its factorization.

34834505382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256957 (or 256939 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 34834505382 in words is "thirty-four billion, eight hundred thirty-four million, five hundred five thousand, three hundred eighty-two".