3943901198160 has 960 divisors, whose sum is σ = 17136506050560. Its totient is φ = 788755968000.

The previous prime is 3943901198147. The next prime is 3943901198287. The reversal of 3943901198160 is 618911093493.

3943901198160 is a `hidden beast` number, since 3 + 9 + 4 + 390 + 1 + 1 + 98 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3943901198097 and 3943901198106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 532164855 + ... + 532172265.

It is an arithmetic number, because the mean of its divisors is an integer number (17850527136).

Almost surely, 2^{3943901198160} is an apocalyptic number.

3943901198160 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 3943901198160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568253025280).

3943901198160 is an abundant number, since it is smaller than the sum of its proper divisors (13192604852400).

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

3943901198160 is a wasteful number, since it uses less digits than its factorization.

3943901198160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 3943901198160 in words is "three trillion, nine hundred forty-three billion, nine hundred one million, one hundred ninety-eight thousand, one hundred sixty".