3327881424480 has 288 divisors, whose sum is σ = 11993069088000. Its totient is φ = 837987296256.

The previous prime is 3327881424409. The next prime is 3327881424493. The reversal of 3327881424480 is 844241887233.

3327881424480 is a `hidden beast` number, since 3 + 32 + 78 + 81 + 424 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3327881424480² (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, 8201421 + ... + 8597619.

It is an arithmetic number, because the mean of its divisors is an integer number (41642601000).

Almost surely, 2^{3327881424480} is an apocalyptic number.

3327881424480 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 3327881424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996534544000).

3327881424480 is an abundant number, since it is smaller than the sum of its proper divisors (8665187663520).

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

3327881424480 is a wasteful number, since it uses less digits than its factorization.

3327881424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396546 (or 396535 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 3327881424480 in words is "three trillion, three hundred twenty-seven billion, eight hundred eighty-one million, four hundred twenty-four thousand, four hundred eighty".