3306087923008 has 126 divisors (see below), whose sum is σ = 7126331912154. Its totient is φ = 1521795884544.

The previous prime is 3306087923003. The next prime is 3306087923029. The reversal of 3306087923008 is 8003297806033.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 2431578659904 + 874509263104 = 1559352^2 + 935152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306087923003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8863506310 + ... + 8863506682.

It is an arithmetic number, because the mean of its divisors is an integer number (56558189779).

Almost surely, 2^{3306087923008} 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 3306087923008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563165956077).

3306087923008 is an abundant number, since it is smaller than the sum of its proper divisors (3820243989146).

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

3306087923008 is an frugal number, since it uses more digits than its factorization.

3306087923008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 3306087923008 in words is "three trillion, three hundred six billion, eighty-seven million, nine hundred twenty-three thousand, eight".