3906927820800 has 960 divisors, whose sum is σ = 14647045237440. Its totient is φ = 1029408030720.

The previous prime is 3906927820781. The next prime is 3906927820801. The reversal of 3906927820800 is 80287296093.

It is a happy number.

3906927820800 is a `hidden beast` number, since 390 + 6 + 92 + 78 + 20 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906927820801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6436454097 + ... + 6436454703.

It is an arithmetic number, because the mean of its divisors is an integer number (15257338789).

Almost surely, 2^{3906927820800} is an apocalyptic number.

3906927820800 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 3906927820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7323522618720).

3906927820800 is an abundant number, since it is smaller than the sum of its proper divisors (10740117416640).

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

3906927820800 is an frugal number, since it uses more digits than its factorization.

3906927820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3906927820800 in words is "three trillion, nine hundred six billion, nine hundred twenty-seven million, eight hundred twenty thousand, eight hundred".