834394345272 has 288 divisors, whose sum is σ = 2399966936640. Its totient is φ = 261614438400.

The previous prime is 834394345261. The next prime is 834394345289. The reversal of 834394345272 is 272543493438.

It is a happy number.

834394345272 is a `hidden beast` number, since 8 + 34 + 3 + 94 + 3 + 452 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 699407908 + ... + 699409100.

It is an arithmetic number, because the mean of its divisors is an integer number (8333218530).

Almost surely, 2^834394345272 is an apocalyptic number.

834394345272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834394345272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199983468320).

834394345272 is an abundant number, since it is smaller than the sum of its proper divisors (1565572591368).

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

834394345272 is a wasteful number, since it uses less digits than its factorization.

834394345272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1357 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 834394345272 in words is "eight hundred thirty-four billion, three hundred ninety-four million, three hundred forty-five thousand, two hundred seventy-two".