3284231233752 has 192 divisors, whose sum is σ = 10518136200000. Its totient is φ = 905811766272.

The previous prime is 3284231233733. The next prime is 3284231233769. The reversal of 3284231233752 is 2573321324823.

3284231233752 is a `hidden beast` number, since 3 + 2 + 84 + 231 + 2 + 337 + 5 + 2 = 666.

It is a super-3 number, since 3×3284231233752³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3284231233698 and 3284231233707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82604374 + ... + 82644122.

It is an arithmetic number, because the mean of its divisors is an integer number (54781959375).

Almost surely, 2^{3284231233752} 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 3284231233752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259068100000).

3284231233752 is an abundant number, since it is smaller than the sum of its proper divisors (7233904966248).

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

3284231233752 is a wasteful number, since it uses less digits than its factorization.

3284231233752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45450 (or 45443 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 3284231233752 in words is "three trillion, two hundred eighty-four billion, two hundred thirty-one million, two hundred thirty-three thousand, seven hundred fifty-two".