3823602439680 has 480 divisors, whose sum is σ = 13435523491104. Its totient is φ = 1004843040768.

The previous prime is 3823602439609. The next prime is 3823602439721. The reversal of 3823602439680 is 869342063283.

3823602439680 is a `hidden beast` number, since 3 + 8 + 23 + 602 + 4 + 3 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 485656224 + ... + 485664096.

Almost surely, 2^{3823602439680} is an apocalyptic number.

3823602439680 is a gapful number since it is divisible by the number (30) 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 3823602439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717761745552).

3823602439680 is an abundant number, since it is smaller than the sum of its proper divisors (9611921051424).

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

3823602439680 is a wasteful number, since it uses less digits than its factorization.

3823602439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3823602439680 in words is "three trillion, eight hundred twenty-three billion, six hundred two million, four hundred thirty-nine thousand, six hundred eighty".