1003834343808 has 192 divisors, whose sum is σ = 2912583398400. Its totient is φ = 331842576384.

The previous prime is 1003834343807. The next prime is 1003834343873. The reversal of 1003834343808 is 8083434383001.

1003834343808 is a `hidden beast` number, since 100 + 3 + 83 + 434 + 38 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003834343807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201854410 + ... + 201859382.

It is an arithmetic number, because the mean of its divisors is an integer number (15169705200).

Almost surely, 2^{1003834343808} is an apocalyptic number.

1003834343808 is a gapful number since it is divisible by the number (18) 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 1003834343808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456291699200).

1003834343808 is an abundant number, since it is smaller than the sum of its proper divisors (1908749054592).

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

1003834343808 is a wasteful number, since it uses less digits than its factorization.

1003834343808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1003834343808 in words is "one trillion, three billion, eight hundred thirty-four million, three hundred forty-three thousand, eight hundred eight".