3482833068000 has 2304 divisors, whose sum is σ = 15415697606400. Its totient is φ = 732856320000.

The previous prime is 3482833067977. The next prime is 3482833068049. The reversal of 3482833068000 is 8603382843.

3482833068000 is a `hidden beast` number, since 3 + 482 + 83 + 30 + 68 + 0 + 0 + 0 = 666.

3482833068000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6120971716 + ... + 6120972284.

It is an arithmetic number, because the mean of its divisors is an integer number (6690840975).

Almost surely, 2^{3482833068000} is an apocalyptic number.

3482833068000 is a gapful number since it is divisible by the number (30) 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 3482833068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707848803200).

3482833068000 is an abundant number, since it is smaller than the sum of its proper divisors (11932864538400).

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

3482833068000 is a wasteful number, since it uses less digits than its factorization.

3482833068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

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

The spelling of 3482833068000 in words is "three trillion, four hundred eighty-two billion, eight hundred thirty-three million, sixty-eight thousand".