3829047668442 has 48 divisors (see below), whose sum is σ = 8601128513640. Its totient is φ = 1229640523776.

The previous prime is 3829047668423. The next prime is 3829047668477. The reversal of 3829047668442 is 2448667409283.

3829047668442 is a `hidden beast` number, since 3 + 8 + 2 + 90 + 47 + 6 + 68 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2859687305721 + 969360362721 = 1691061^2 + 984561^2 .

It is a super-2 number, since 2×3829047668442² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3829047668442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7786983 + ... + 8264090.

Almost surely, 2^{3829047668442} is an apocalyptic number.

3829047668442 is an abundant number, since it is smaller than the sum of its proper divisors (4772080845198).

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

3829047668442 is a wasteful number, since it uses less digits than its factorization.

3829047668442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16051567 (or 16051564 counting only the distinct ones).

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

The spelling of 3829047668442 in words is "three trillion, eight hundred twenty-nine billion, forty-seven million, six hundred sixty-eight thousand, four hundred forty-two".