3995793607680 has 2640 divisors, whose sum is σ = 17890531084800. Its totient is φ = 847780577280.

The previous prime is 3995793607639. The next prime is 3995793607681. The reversal of 3995793607680 is 867063975993.

3995793607680 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 7 + 9 + 3 + 607 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3995793607599 and 3995793607608.

It is not an unprimeable number, because it can be changed into a prime (3995793607681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30502241215 + ... + 30502241345.

It is an arithmetic number, because the mean of its divisors is an integer number (6776716320).

Almost surely, 2^{3995793607680} is an apocalyptic number.

3995793607680 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 3995793607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945265542400).

3995793607680 is an abundant number, since it is smaller than the sum of its proper divisors (13894737477120).

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

3995793607680 is a wasteful number, since it uses less digits than its factorization.

3995793607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 3995793607680 in words is "three trillion, nine hundred ninety-five billion, seven hundred ninety-three million, six hundred seven thousand, six hundred eighty".