3481462646784 has 384 divisors, whose sum is σ = 10843743456000. Its totient is φ = 1102071398400.

The previous prime is 3481462646773. The next prime is 3481462646797. The reversal of 3481462646784 is 4876462641843.

3481462646784 is a `hidden beast` number, since 3 + 4 + 8 + 146 + 26 + 467 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97800829 + ... + 97836419.

It is an arithmetic number, because the mean of its divisors is an integer number (28238915250).

Almost surely, 2^{3481462646784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481462646784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421871728000).

3481462646784 is an abundant number, since it is smaller than the sum of its proper divisors (7362280809216).

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

3481462646784 is a wasteful number, since it uses less digits than its factorization.

3481462646784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35712 (or 35686 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 3481462646784 in words is "three trillion, four hundred eighty-one billion, four hundred sixty-two million, six hundred forty-six thousand, seven hundred eighty-four".