3380590348800 has 480 divisors, whose sum is σ = 12827274240000. Its totient is φ = 768811253760.

The previous prime is 3380590348783. The next prime is 3380590348801. The reversal of 3380590348800 is 88430950833.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3380590348800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3380590348801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53459601 + ... + 53522799.

It is an arithmetic number, because the mean of its divisors is an integer number (26723488000).

Almost surely, 2^{3380590348800} is an apocalyptic number.

3380590348800 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 3380590348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413637120000).

3380590348800 is an abundant number, since it is smaller than the sum of its proper divisors (9446683891200).

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

3380590348800 is a wasteful number, since it uses less digits than its factorization.

3380590348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63436 (or 63415 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 3380590348800 in words is "three trillion, three hundred eighty billion, five hundred ninety million, three hundred forty-eight thousand, eight hundred".