3481833600000 has 2640 divisors, whose sum is σ = 15789035687040. Its totient is φ = 746496000000.

The previous prime is 3481833599999. The next prime is 3481833600013. The reversal of 3481833600000 is 63381843.

It is a happy number.

3481833600000 is a `hidden beast` number, since 3 + 4 + 8 + 18 + 33 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34473599950 + ... + 34473600050.

It is an arithmetic number, because the mean of its divisors is an integer number (5980695336).

Almost surely, 2^{3481833600000} is an apocalyptic number.

3481833600000 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 3481833600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894517843520).

3481833600000 is an abundant number, since it is smaller than the sum of its proper divisors (12307202087040).

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

3481833600000 is an equidigital number, since it uses as much as digits as its factorization.

3481833600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 3481833600000 its reverse (63381843), we get a palindrome (3481896981843).

The spelling of 3481833600000 in words is "three trillion, four hundred eighty-one billion, eight hundred thirty-three million, six hundred thousand".