3350506096896 has 288 divisors, whose sum is σ = 10306177394688. Its totient is φ = 946499420160.

The previous prime is 3350506096849. The next prime is 3350506096897. The reversal of 3350506096896 is 6986906050533.

It is a super-2 number, since 2×3350506096896² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3350506096897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679475551 + ... + 679480481.

It is an arithmetic number, because the mean of its divisors is an integer number (35785338176).

Almost surely, 2^{3350506096896} 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 3350506096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153088697344).

3350506096896 is an abundant number, since it is smaller than the sum of its proper divisors (6955671297792).

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

3350506096896 is a wasteful number, since it uses less digits than its factorization.

3350506096896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 60.

The spelling of 3350506096896 in words is "three trillion, three hundred fifty billion, five hundred six million, ninety-six thousand, eight hundred ninety-six".