3820805968536 has 192 divisors, whose sum is σ = 11242499224320. Its totient is φ = 1213370928000.

The previous prime is 3820805968481. The next prime is 3820805968561. The reversal of 3820805968536 is 6358695080283.

3820805968536 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 8 + 0 + 5 + 96 + 8 + 536 = 666.

It is a congruent number.

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, 11052486 + ... + 11392938.

It is an arithmetic number, because the mean of its divisors is an integer number (58554683460).

Almost surely, 2^{3820805968536} is an apocalyptic number.

3820805968536 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 3820805968536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621249612160).

3820805968536 is an abundant number, since it is smaller than the sum of its proper divisors (7421693255784).

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

3820805968536 is a wasteful number, since it uses less digits than its factorization.

3820805968536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340748 (or 340732 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3820805968536 in words is "three trillion, eight hundred twenty billion, eight hundred five million, nine hundred sixty-eight thousand, five hundred thirty-six".