3482873323776 has 2592 divisors, whose sum is σ = 14249394432000. Its totient is φ = 844958822400.

The previous prime is 3482873323771. The next prime is 3482873323789. The reversal of 3482873323776 is 6773233782843.

3482873323776 is a `hidden beast` number, since 3 + 482 + 87 + 3 + 3 + 2 + 3 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482873323771) 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 287 ways as a sum of consecutive naturals, for example, 49054553821 + ... + 49054553891.

Almost surely, 2^{3482873323776} is an apocalyptic number.

3482873323776 is a gapful number since it is divisible by the number (36) 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 3482873323776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124697216000).

3482873323776 is an abundant number, since it is smaller than the sum of its proper divisors (10766521108224).

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

3482873323776 is an equidigital number, since it uses as much as digits as its factorization.

3482873323776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 113 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 63.

The spelling of 3482873323776 in words is "three trillion, four hundred eighty-two billion, eight hundred seventy-three million, three hundred twenty-three thousand, seven hundred seventy-six".