3481496064000 has 624 divisors, whose sum is σ = 12681435290160. Its totient is φ = 918709862400.

The previous prime is 3481496063923. The next prime is 3481496064017. The reversal of 3481496064000 is 4606941843.

3481496064000 is a `hidden beast` number, since 3 + 48 + 149 + 60 + 6 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1062251790336 + 2419244273664 = 1030656^2 + 1555392^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 446972106 + ... + 446979894.

It is an arithmetic number, because the mean of its divisors is an integer number (20322812965).

Almost surely, 2^{3481496064000} is an apocalyptic number.

3481496064000 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 3481496064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340717645080).

3481496064000 is an abundant number, since it is smaller than the sum of its proper divisors (9199939226160).

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

3481496064000 is an equidigital number, since it uses as much as digits as its factorization.

3481496064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7931 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3481496064000 in words is "three trillion, four hundred eighty-one billion, four hundred ninety-six million, sixty-four thousand".