3354220468368 has 960 divisors, whose sum is σ = 12201984737280. Its totient is φ = 835069132800.

The previous prime is 3354220468367. The next prime is 3354220468369. The reversal of 3354220468368 is 8638640224533.

3354220468368 is a `hidden beast` number, since 3 + 3 + 54 + 220 + 4 + 6 + 8 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (3354220468367) and next prime (3354220468369).

It is a super-2 number, since 2×3354220468368² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3354220468367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9953176296 + ... + 9953176632.

It is an arithmetic number, because the mean of its divisors is an integer number (12710400768).

Almost surely, 2^{3354220468368} 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 3354220468368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100992368640).

3354220468368 is an abundant number, since it is smaller than the sum of its proper divisors (8847764268912).

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

3354220468368 is a wasteful number, since it uses less digits than its factorization.

3354220468368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3354220468368 in words is "three trillion, three hundred fifty-four billion, two hundred twenty million, four hundred sixty-eight thousand, three hundred sixty-eight".