3288633090204 has 192 divisors, whose sum is σ = 10084122316800. Its totient is φ = 808134796800.

The previous prime is 3288633090157. The next prime is 3288633090209. The reversal of 3288633090204 is 4020903368823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288633090209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12847144 + ... + 13100624.

It is an arithmetic number, because the mean of its divisors is an integer number (52521470400).

Almost surely, 2^{3288633090204} 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 3288633090204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042061158400).

3288633090204 is an abundant number, since it is smaller than the sum of its proper divisors (6795489226596).

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

3288633090204 is a wasteful number, since it uses less digits than its factorization.

3288633090204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254264 (or 254262 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 3288633090204 in words is "three trillion, two hundred eighty-eight billion, six hundred thirty-three million, ninety thousand, two hundred four".