3388348558080 has 360 divisors, whose sum is σ = 12141077780832. Its totient is φ = 902296682496.

The previous prime is 3388348558073. The next prime is 3388348558081. The reversal of 3388348558080 is 808558438833.

3388348558080 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 3 + 48 + 5 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×3388348558080³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3388348557999 and 3388348558017.

It is not an unprimeable number, because it can be changed into a prime (3388348558081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75352884 + ... + 75397836.

Almost surely, 2^{3388348558080} is an apocalyptic number.

3388348558080 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 3388348558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070538890416).

3388348558080 is an abundant number, since it is smaller than the sum of its proper divisors (8752729222752).

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

3388348558080 is an equidigital number, since it uses as much as digits as its factorization.

3388348558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45713 (or 45690 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 3388348558080 in words is "three trillion, three hundred eighty-eight billion, three hundred forty-eight million, five hundred fifty-eight thousand, eighty".