834211744380 has 288 divisors, whose sum is σ = 2995073303040. Its totient is φ = 183891617280.

The previous prime is 834211744361. The next prime is 834211744381. The reversal of 834211744380 is 83447112438.

834211744380 is a `hidden beast` number, since 8 + 3 + 42 + 1 + 174 + 438 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834211744381) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 33129195 + ... + 33154365.

It is an arithmetic number, because the mean of its divisors is an integer number (10399560080).

Almost surely, 2^834211744380 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 834211744380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497536651520).

834211744380 is an abundant number, since it is smaller than the sum of its proper divisors (2160861558660).

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

834211744380 is a wasteful number, since it uses less digits than its factorization.

834211744380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26129 (or 26124 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 834211744380 in words is "eight hundred thirty-four billion, two hundred eleven million, seven hundred forty-four thousand, three hundred eighty".