3290855118096 has 320 divisors, whose sum is σ = 10528951104000. Its totient is φ = 862483120128.

The previous prime is 3290855118077. The next prime is 3290855118143. The reversal of 3290855118096 is 6908115580923.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504033360 + ... + 504039888.

It is an arithmetic number, because the mean of its divisors is an integer number (32902972200).

Almost surely, 2^{3290855118096} 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 3290855118096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264475552000).

3290855118096 is an abundant number, since it is smaller than the sum of its proper divisors (7238095985904).

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

3290855118096 is a wasteful number, since it uses less digits than its factorization.

3290855118096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 57.

The spelling of 3290855118096 in words is "three trillion, two hundred ninety billion, eight hundred fifty-five million, one hundred eighteen thousand, ninety-six".