3995073684000 has 1152 divisors, whose sum is σ = 17807062291200. Its totient is φ = 865076889600.

The previous prime is 3995073683969. The next prime is 3995073684053. The reversal of 3995073684000 is 4863705993.

3995073684000 is a `hidden beast` number, since 3 + 99 + 507 + 3 + 6 + 8 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×3995073684000² (a number of 26 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 100528134 + ... + 100567866.

It is an arithmetic number, because the mean of its divisors is an integer number (15457519350).

Almost surely, 2^{3995073684000} is an apocalyptic number.

3995073684000 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 3995073684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903531145600).

3995073684000 is an abundant number, since it is smaller than the sum of its proper divisors (13811988607200).

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

3995073684000 is a wasteful number, since it uses less digits than its factorization.

3995073684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39800 (or 39769 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3995073684000 in words is "three trillion, nine hundred ninety-five billion, seventy-three million, six hundred eighty-four thousand".