3283552342080 has 672 divisors, whose sum is σ = 12013695657600. Its totient is φ = 820835057664.

The previous prime is 3283552342069. The next prime is 3283552342087. The reversal of 3283552342080 is 802432553823.

3283552342080 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 5 + 523 + 42 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3283552342087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3293432142 + ... + 3293433138.

It is an arithmetic number, because the mean of its divisors is an integer number (17877523300).

Almost surely, 2^{3283552342080} is an apocalyptic number.

3283552342080 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 3283552342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006847828800).

3283552342080 is an abundant number, since it is smaller than the sum of its proper divisors (8730143315520).

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

3283552342080 is a wasteful number, since it uses less digits than its factorization.

3283552342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3283552342080 in words is "three trillion, two hundred eighty-three billion, five hundred fifty-two million, three hundred forty-two thousand, eighty".