3289208946996 has 288 divisors, whose sum is σ = 9588477911040. Its totient is φ = 872729738496.

The previous prime is 3289208946979. The next prime is 3289208946997. The reversal of 3289208946996 is 6996498029823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289208946997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239678991 + ... + 239692713.

It is an arithmetic number, because the mean of its divisors is an integer number (33293326080).

Almost surely, 2^{3289208946996} 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 3289208946996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794238955520).

3289208946996 is an abundant number, since it is smaller than the sum of its proper divisors (6299268964044).

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

3289208946996 is a wasteful number, since it uses less digits than its factorization.

3289208946996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14283 (or 14274 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 75.

The spelling of 3289208946996 in words is "three trillion, two hundred eighty-nine billion, two hundred eight million, nine hundred forty-six thousand, nine hundred ninety-six".