3300444002000 has 160 divisors (see below), whose sum is σ = 8031282465024. Its totient is φ = 1311799488000.

The previous prime is 3300444001999. The next prime is 3300444002017. The reversal of 3300444002000 is 2004440033.

It is a happy number.

It is a super-2 number, since 2×3300444002000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203333885 + ... + 203350115.

Almost surely, 2^{3300444002000} 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 3300444002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015641232512).

3300444002000 is an abundant number, since it is smaller than the sum of its proper divisors (4730838463024).

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

3300444002000 is a wasteful number, since it uses less digits than its factorization.

3300444002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16894 (or 16878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 3300444002000 its reverse (2004440033), we get a palindrome (3302448442033).

The spelling of 3300444002000 in words is "three trillion, three hundred billion, four hundred forty-four million, two thousand".