3282703200000 has 1080 divisors, whose sum is σ = 13984504246944. Its totient is φ = 750228480000.

The previous prime is 3282703199953. The next prime is 3282703200019. The reversal of 3282703200000 is 23072823.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×3282703200000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 453596382 + ... + 453603618.

Almost surely, 2^{3282703200000} is an apocalyptic number.

3282703200000 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 3282703200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992252123472).

3282703200000 is an abundant number, since it is smaller than the sum of its proper divisors (10701801046944).

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

3282703200000 is an frugal number, since it uses more digits than its factorization.

3282703200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7297 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 3282703200000 its reverse (23072823), we get a palindrome (3282726272823).

The spelling of 3282703200000 in words is "three trillion, two hundred eighty-two billion, seven hundred three million, two hundred thousand".