3483928139328 has 2016 divisors, whose sum is σ = 13922897264640. Its totient is φ = 824474972160.

The previous prime is 3483928139327. The next prime is 3483928139333. The reversal of 3483928139328 is 8239318293843.

3483928139328 is a `hidden beast` number, since 3 + 4 + 83 + 92 + 81 + 393 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (3483928139327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74126130601 + ... + 74126130647.

It is an arithmetic number, because the mean of its divisors is an integer number (6906199040).

Almost surely, 2^{3483928139328} is an apocalyptic number.

3483928139328 is a gapful number since it is divisible by the number (38) 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 3483928139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961448632320).

3483928139328 is an abundant number, since it is smaller than the sum of its proper divisors (10438969125312).

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

3483928139328 is a wasteful number, since it uses less digits than its factorization.

3483928139328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 122 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 3483928139328 in words is "three trillion, four hundred eighty-three billion, nine hundred twenty-eight million, one hundred thirty-nine thousand, three hundred twenty-eight".