3483828759840 has 1152 divisors, whose sum is σ = 13896390316032. Its totient is φ = 724637122560.

The previous prime is 3483828759821. The next prime is 3483828759871. The reversal of 3483828759840 is 489578283843.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1259062137 + ... + 1259064903.

It is an arithmetic number, because the mean of its divisors is an integer number (12062838816).

Almost surely, 2^{3483828759840} is an apocalyptic number.

3483828759840 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 3483828759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6948195158016).

3483828759840 is an abundant number, since it is smaller than the sum of its proper divisors (10412561556192).

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

3483828759840 is a wasteful number, since it uses less digits than its factorization.

3483828759840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 3483828759840 in words is "three trillion, four hundred eighty-three billion, eight hundred twenty-eight million, seven hundred fifty-nine thousand, eight hundred forty".