3346343320320 has 5184 divisors, whose sum is σ = 17327263629312. Its totient is φ = 578086502400.

The previous prime is 3346343320301. The next prime is 3346343320339. The reversal of 3346343320320 is 230233436433.

It is a happy number.

3346343320320 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 3 + 4 + 3 + 320 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (3346343320301) and next prime (3346343320339).

It is a super-2 number, since 2×3346343320320² (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 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 575 ways as a sum of consecutive naturals, for example, 90441711342 + ... + 90441711378.

Almost surely, 2^{3346343320320} is an apocalyptic number.

3346343320320 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 3346343320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8663631814656).

3346343320320 is an abundant number, since it is smaller than the sum of its proper divisors (13980920308992).

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

3346343320320 is a wasteful number, since it uses less digits than its factorization.

3346343320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 3346343320320 its reverse (230233436433), we get a palindrome (3576576756753).

It can be divided in two parts, 3346343 and 320320, that added together give a palindrome (3666663).

The spelling of 3346343320320 in words is "three trillion, three hundred forty-six billion, three hundred forty-three million, three hundred twenty thousand, three hundred twenty".