3300441100000 has 288 divisors, whose sum is σ = 8876383875072. Its totient is φ = 1197940800000.

The previous prime is 3300441099971. The next prime is 3300441100031. The reversal of 3300441100000 is 11440033.

It is a super-2 number, since 2×3300441100000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

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, 667697529 + ... + 667702471.

It is an arithmetic number, because the mean of its divisors is an integer number (30820777344).

Almost surely, 2^{3300441100000} 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 3300441100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438191937536).

3300441100000 is an abundant number, since it is smaller than the sum of its proper divisors (5575942775072).

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

3300441100000 is an equidigital number, since it uses as much as digits as its factorization.

3300441100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3300441100000 its reverse (11440033), we get a palindrome (3300452540033).

The spelling of 3300441100000 in words is "three trillion, three hundred billion, four hundred forty-one million, one hundred thousand".