3923206560000 has 3240 divisors, whose sum is σ = 18229199788800. Its totient is φ = 810141696000.

The previous prime is 3923206559977. The next prime is 3923206560059. The reversal of 3923206560000 is 656023293.

3923206560000 is a `hidden beast` number, since 3 + 9 + 23 + 20 + 6 + 5 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 359 ways as a sum of consecutive naturals, for example, 83472479977 + ... + 83472480023.

Almost surely, 2^{3923206560000} is an apocalyptic number.

3923206560000 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 3923206560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114599894400).

3923206560000 is an abundant number, since it is smaller than the sum of its proper divisors (14305993228800).

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

3923206560000 is an equidigital number, since it uses as much as digits as its factorization.

3923206560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 3923206560000 in words is "three trillion, nine hundred twenty-three billion, two hundred six million, five hundred sixty thousand".