3994772417160 has 512 divisors, whose sum is σ = 14484521779200. Its totient is φ = 862040309760.

The previous prime is 3994772417147. The next prime is 3994772417239. The reversal of 3994772417160 is 617142774993.

It is a happy number.

3994772417160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3994772417094 and 3994772417103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1241767872 + ... + 1241771088.

It is an arithmetic number, because the mean of its divisors is an integer number (28290081600).

Almost surely, 2^{3994772417160} is an apocalyptic number.

3994772417160 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 3994772417160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242260889600).

3994772417160 is an abundant number, since it is smaller than the sum of its proper divisors (10489749362040).

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

3994772417160 is a wasteful number, since it uses less digits than its factorization.

3994772417160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 3994772417160 in words is "three trillion, nine hundred ninety-four billion, seven hundred seventy-two million, four hundred seventeen thousand, one hundred sixty".