3378325270320 has 960 divisors, whose sum is σ = 15902837153280. Its totient is φ = 647987558400.

The previous prime is 3378325270261. The next prime is 3378325270321. The reversal of 3378325270320 is 230725238733.

3378325270320 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 3 + 252 + 70 + 320 = 666.

It is a super-2 number, since 2×3378325270320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3378325270321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15023515 + ... + 15246725.

It is an arithmetic number, because the mean of its divisors is an integer number (16565455368).

Almost surely, 2^{3378325270320} is an apocalyptic number.

3378325270320 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 3378325270320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951418576640).

3378325270320 is an abundant number, since it is smaller than the sum of its proper divisors (12524511882960).

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

3378325270320 is a wasteful number, since it uses less digits than its factorization.

3378325270320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223271 (or 223252 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 3378325270320 in words is "three trillion, three hundred seventy-eight billion, three hundred twenty-five million, two hundred seventy thousand, three hundred twenty".