3283217996800 has 1056 divisors, whose sum is σ = 10469734894080. Its totient is φ = 993735475200.

The previous prime is 3283217996771. The next prime is 3283217996809. The reversal of 3283217996800 is 86997123823.

It is a super-2 number, since 2×3283217996800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283217996809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7582489384 + ... + 7582489816.

It is an arithmetic number, because the mean of its divisors is an integer number (9914521680).

Almost surely, 2^{3283217996800} 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 3283217996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234867447040).

3283217996800 is an abundant number, since it is smaller than the sum of its proper divisors (7186516897280).

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

3283217996800 is a wasteful number, since it uses less digits than its factorization.

3283217996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 3283217996800 in words is "three trillion, two hundred eighty-three billion, two hundred seventeen million, nine hundred ninety-six thousand, eight hundred".