3481471443600 has 480 divisors, whose sum is σ = 12779523764480. Its totient is φ = 899527680000.

The previous prime is 3481471443577. The next prime is 3481471443617. The reversal of 3481471443600 is 63441741843.

3481471443600 is a `hidden beast` number, since 3 + 4 + 8 + 147 + 1 + 443 + 60 + 0 = 666.

3481471443600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 96285525 + ... + 96321675.

Almost surely, 2^{3481471443600} is an apocalyptic number.

3481471443600 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 3481471443600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389761882240).

3481471443600 is an abundant number, since it is smaller than the sum of its proper divisors (9298052320880).

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

3481471443600 is a wasteful number, since it uses less digits than its factorization.

3481471443600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36456 (or 36439 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3481471443600 in words is "three trillion, four hundred eighty-one billion, four hundred seventy-one million, four hundred forty-three thousand, six hundred".