3300034144000 has 288 divisors, whose sum is σ = 9210561377472. Its totient is φ = 1167575040000.

The previous prime is 3300034143919. The next prime is 3300034144003. The reversal of 3300034144000 is 4414300033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300034144003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12897310 + ... + 13150690.

It is an arithmetic number, because the mean of its divisors is an integer number (31981115894).

Almost surely, 2^{3300034144000} 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 3300034144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605280688736).

3300034144000 is an abundant number, since it is smaller than the sum of its proper divisors (5910527233472).

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

3300034144000 is a wasteful number, since it uses less digits than its factorization.

3300034144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253460 (or 253436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 3300034144000 its reverse (4414300033), we get a palindrome (3304448444033).

The spelling of 3300034144000 in words is "three trillion, three hundred billion, thirty-four million, one hundred forty-four thousand".