3481949306880 has 1440 divisors, whose sum is σ = 13976793673920. Its totient is φ = 822167470080.

The previous prime is 3481949306863. The next prime is 3481949306917. The reversal of 3481949306880 is 886039491843.

3481949306880 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 9 + 493 + 0 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3481949306880² (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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39123025876 + ... + 39123025964.

It is an arithmetic number, because the mean of its divisors is an integer number (9706106718).

Almost surely, 2^{3481949306880} is an apocalyptic number.

3481949306880 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 3481949306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988396836960).

3481949306880 is an abundant number, since it is smaller than the sum of its proper divisors (10494844367040).

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

3481949306880 is an frugal number, since it uses more digits than its factorization.

3481949306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3481949306880 in words is "three trillion, four hundred eighty-one billion, nine hundred forty-nine million, three hundred six thousand, eight hundred eighty".