3300303040000 has 400 divisors, whose sum is σ = 8710102874880. Its totient is φ = 1245404160000.

The previous prime is 3300303039967. The next prime is 3300303040003. The reversal of 3300303040000 is 403030033.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300303040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1647678999 + ... + 1647681001.

Almost surely, 2^{3300303040000} 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 3300303040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355051437440).

3300303040000 is an abundant number, since it is smaller than the sum of its proper divisors (5409799834880).

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

3300303040000 is an equidigital number, since it uses as much as digits as its factorization.

3300303040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 3300303040000 its reverse (403030033), we get a palindrome (3300706070033).

The spelling of 3300303040000 in words is "three trillion, three hundred billion, three hundred three million, forty thousand".