3331334886480 has 240 divisors, whose sum is σ = 11296431357120. Its totient is φ = 879755999232.

The previous prime is 3331334886479. The next prime is 3331334886493. The reversal of 3331334886480 is 846884331333.

3331334886480 is a `hidden beast` number, since 3 + 33 + 13 + 3 + 48 + 86 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3331334886480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41289859 + ... + 41370461.

It is an arithmetic number, because the mean of its divisors is an integer number (47068463988).

Almost surely, 2^{3331334886480} is an apocalyptic number.

3331334886480 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 3331334886480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648215678560).

3331334886480 is an abundant number, since it is smaller than the sum of its proper divisors (7965096470640).

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

3331334886480 is a wasteful number, since it uses less digits than its factorization.

3331334886480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81178 (or 81169 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3331334886480 in words is "three trillion, three hundred thirty-one billion, three hundred thirty-four million, eight hundred eighty-six thousand, four hundred eighty".