3928448434176 has 1080 divisors, whose sum is σ = 14127211327320. Its totient is φ = 1048773132288.

The previous prime is 3928448434123. The next prime is 3928448434177. The reversal of 3928448434176 is 6714348448293.

3928448434176 is a `hidden beast` number, since 3 + 9 + 2 + 84 + 484 + 3 + 4 + 1 + 76 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928448434177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53814362076 + ... + 53814362148.

It is an arithmetic number, because the mean of its divisors is an integer number (13080751229).

Almost surely, 2^{3928448434176} is an apocalyptic number.

3928448434176 is a gapful number since it is divisible by the number (36) 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 3928448434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063605663660).

3928448434176 is an abundant number, since it is smaller than the sum of its proper divisors (10198762893144).

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

3928448434176 is an frugal number, since it uses more digits than its factorization.

3928448434176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 104 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 3928448434176 in words is "three trillion, nine hundred twenty-eight billion, four hundred forty-eight million, four hundred thirty-four thousand, one hundred seventy-six".