3291079889328 has 320 divisors, whose sum is σ = 10712057241600. Its totient is φ = 845817292800.

The previous prime is 3291079889327. The next prime is 3291079889371. The reversal of 3291079889328 is 8239889701923.

It is not an unprimeable number, because it can be changed into a prime (3291079889327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157465023 + ... + 157485921.

It is an arithmetic number, because the mean of its divisors is an integer number (33475178880).

Almost surely, 2^{3291079889328} 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 3291079889328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356028620800).

3291079889328 is an abundant number, since it is smaller than the sum of its proper divisors (7420977352272).

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

3291079889328 is a wasteful number, since it uses less digits than its factorization.

3291079889328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21376 (or 21370 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 3291079889328 in words is "three trillion, two hundred ninety-one billion, seventy-nine million, eight hundred eighty-nine thousand, three hundred twenty-eight".