3930485068800 has 792 divisors, whose sum is σ = 14844978283200. Its totient is φ = 990868930560.

The previous prime is 3930485068789. The next prime is 3930485068843. The reversal of 3930485068800 is 88605840393.

It is a happy number.

3930485068800 is a `hidden beast` number, since 3 + 93 + 0 + 48 + 506 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4023013912 + ... + 4023014888.

Almost surely, 2^{3930485068800} is an apocalyptic number.

3930485068800 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 3930485068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422489141600).

3930485068800 is an abundant number, since it is smaller than the sum of its proper divisors (10914493214400).

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

3930485068800 is a wasteful number, since it uses less digits than its factorization.

3930485068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3930485068800 in words is "three trillion, nine hundred thirty billion, four hundred eighty-five million, sixty-eight thousand, eight hundred".