3843659082816 has 448 divisors, whose sum is σ = 13633016371200. Its totient is φ = 1037369161728.

The previous prime is 3843659082779. The next prime is 3843659082827. The reversal of 3843659082816 is 6182809563483.

It is a happy number.

3843659082816 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 6 + 590 + 8 + 28 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79724830 + ... + 79773026.

Almost surely, 2^{3843659082816} is an apocalyptic number.

3843659082816 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 3843659082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816508185600).

3843659082816 is an abundant number, since it is smaller than the sum of its proper divisors (9789357288384).

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

3843659082816 is a wasteful number, since it uses less digits than its factorization.

3843659082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48591 (or 48575 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 3843659082816 in words is "three trillion, eight hundred forty-three billion, six hundred fifty-nine million, eighty-two thousand, eight hundred sixteen".