3350820216240 has 240 divisors, whose sum is σ = 12866091571008. Its totient is φ = 765584676864.

The previous prime is 3350820216223. The next prime is 3350820216259. The reversal of 3350820216240 is 426120280533.

3350820216240 is a `hidden beast` number, since 3 + 3 + 5 + 0 + 8 + 2 + 0 + 21 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3350820216240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3350820216195 and 3350820216204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12146074 + ... + 12418886.

Almost surely, 2^{3350820216240} is an apocalyptic number.

3350820216240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3350820216240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433045785504).

3350820216240 is an abundant number, since it is smaller than the sum of its proper divisors (9515271354768).

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

3350820216240 is a wasteful number, since it uses less digits than its factorization.

3350820216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275276 (or 275267 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 3350820216240 its reverse (426120280533), we get a palindrome (3776940496773).

The spelling of 3350820216240 in words is "three trillion, three hundred fifty billion, eight hundred twenty million, two hundred sixteen thousand, two hundred forty".