3358881424080 has 1920 divisors, whose sum is σ = 15358776975360. Its totient is φ = 637646929920.

The previous prime is 3358881424069. The next prime is 3358881424109. The reversal of 3358881424080 is 804241888533.

3358881424080 is a `hidden beast` number, since 3 + 3 + 588 + 8 + 14 + 2 + 40 + 8 + 0 = 666.

It is a super-2 number, since 2×3358881424080² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 3073084014 + ... + 3073085106.

It is an arithmetic number, because the mean of its divisors is an integer number (7999363008).

Almost surely, 2^{3358881424080} is an apocalyptic number.

3358881424080 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 3358881424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679388487680).

3358881424080 is an abundant number, since it is smaller than the sum of its proper divisors (11999895551280).

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

3358881424080 is a wasteful number, since it uses less digits than its factorization.

3358881424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 3358881424080 in words is "three trillion, three hundred fifty-eight billion, eight hundred eighty-one million, four hundred twenty-four thousand, eighty".