3829324442112 has 480 divisors, whose sum is σ = 12117938152320. Its totient is φ = 1156994334720.

The previous prime is 3829324442101. The next prime is 3829324442123. The reversal of 3829324442112 is 2112444239283.

3829324442112 is a `hidden beast` number, since 3 + 8 + 2 + 93 + 2 + 4 + 442 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (3829324442101) and next prime (3829324442123).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144104823 + ... + 1144108169.

It is an arithmetic number, because the mean of its divisors is an integer number (25245704484).

Almost surely, 2^{3829324442112} is an apocalyptic number.

3829324442112 is a gapful number since it is divisible by the number (32) 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 3829324442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058969076160).

3829324442112 is an abundant number, since it is smaller than the sum of its proper divisors (8288613710208).

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

3829324442112 is a wasteful number, since it uses less digits than its factorization.

3829324442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3705 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 3829324442112 in words is "three trillion, eight hundred twenty-nine billion, three hundred twenty-four million, four hundred forty-two thousand, one hundred twelve".