3378048547680 has 288 divisors, whose sum is σ = 11708182178784. Its totient is φ = 886720462848.

The previous prime is 3378048547589. The next prime is 3378048547759. The reversal of 3378048547680 is 867458408733.

3378048547680 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 0 + 4 + 8 + 547 + 6 + 80 = 666.

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

It is a super-2 number, since 2×3378048547680² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140173392 + ... + 140197488.

It is an arithmetic number, because the mean of its divisors is an integer number (40653410343).

Almost surely, 2^{3378048547680} is an apocalyptic number.

3378048547680 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 3378048547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854091089392).

3378048547680 is an abundant number, since it is smaller than the sum of its proper divisors (8330133631104).

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

3378048547680 is a wasteful number, since it uses less digits than its factorization.

3378048547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25638 (or 25627 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 3378048547680 in words is "three trillion, three hundred seventy-eight billion, forty-eight million, five hundred forty-seven thousand, six hundred eighty".