3284241648600 has 384 divisors, whose sum is σ = 11415351513600. Its totient is φ = 774086860800.

The previous prime is 3284241648557. The next prime is 3284241648601. The reversal of 3284241648600 is 68461424823.

It is a self number, because there is not a number n which added to its sum of digits gives 3284241648600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284241648601) 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, 392425216 + ... + 392433584.

It is an arithmetic number, because the mean of its divisors is an integer number (29727477900).

Almost surely, 2^{3284241648600} is an apocalyptic number.

3284241648600 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 3284241648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707675756800).

3284241648600 is an abundant number, since it is smaller than the sum of its proper divisors (8131109865000).

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

3284241648600 is a wasteful number, since it uses less digits than its factorization.

3284241648600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10043 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 3284241648600 in words is "three trillion, two hundred eighty-four billion, two hundred forty-one million, six hundred forty-eight thousand, six hundred".