3481469945856 has 768 divisors, whose sum is σ = 12074759424000. Its totient is φ = 970617323520.

The previous prime is 3481469945831. The next prime is 3481469945893. The reversal of 3481469945856 is 6585499641843.

3481469945856 is a `hidden beast` number, since 3 + 4 + 81 + 4 + 6 + 99 + 458 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 3585447451 + ... + 3585448421.

It is an arithmetic number, because the mean of its divisors is an integer number (15722343000).

Almost surely, 2^{3481469945856} is an apocalyptic number.

3481469945856 is a gapful number since it is divisible by the number (36) 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 3481469945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037379712000).

3481469945856 is an abundant number, since it is smaller than the sum of its proper divisors (8593289478144).

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

3481469945856 is a wasteful number, since it uses less digits than its factorization.

3481469945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1199 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 3481469945856 in words is "three trillion, four hundred eighty-one billion, four hundred sixty-nine million, nine hundred forty-five thousand, eight hundred fifty-six".