3482819472384 has 330 divisors, whose sum is σ = 12098415173460. Its totient is φ = 995090116608.

The previous prime is 3482819472337. The next prime is 3482819472389. The reversal of 3482819472384 is 4832749182843.

It is a happy number.

3482819472384 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 81 + 9 + 472 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3482819472389) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3635787 + ... + 4492725.

It is an arithmetic number, because the mean of its divisors is an integer number (36661864162).

Almost surely, 2^{3482819472384} 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 3482819472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049207586730).

3482819472384 is an abundant number, since it is smaller than the sum of its proper divisors (8615595701076).

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

3482819472384 is an equidigital number, since it uses as much as digits as its factorization.

3482819472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856985 (or 856951 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 3482819472384 in words is "three trillion, four hundred eighty-two billion, eight hundred nineteen million, four hundred seventy-two thousand, three hundred eighty-four".