834284430720 has 1024 divisors, whose sum is σ = 3407322240000. Its totient is φ = 191198527488.

The previous prime is 834284430703. The next prime is 834284430731. The reversal of 834284430720 is 27034482438.

834284430720 is a `hidden beast` number, since 83 + 42 + 84 + 430 + 7 + 20 = 666.

It is a super-2 number, since 2×834284430720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251819784 + ... + 251823096.

It is an arithmetic number, because the mean of its divisors is an integer number (3327463125).

Almost surely, 2^834284430720 is an apocalyptic number.

834284430720 is a gapful number since it is divisible by the number (80) 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 834284430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703661120000).

834284430720 is an abundant number, since it is smaller than the sum of its proper divisors (2573037809280).

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

834284430720 is a wasteful number, since it uses less digits than its factorization.

834284430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 834284430720 in words is "eight hundred thirty-four billion, two hundred eighty-four million, four hundred thirty thousand, seven hundred twenty".