3805078642160 has 80 divisors (see below), whose sum is σ = 8926117263360. Its totient is φ = 1508389908480.

The previous prime is 3805078642133. The next prime is 3805078642187. The reversal of 3805078642160 is 612468705083.

It is an interprime number because it is at equal distance from previous prime (3805078642133) and next prime (3805078642187).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3805078642099 and 3805078642108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104113490 + ... + 104150030.

It is an arithmetic number, because the mean of its divisors is an integer number (111576465792).

Almost surely, 2^{3805078642160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3805078642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463058631680).

3805078642160 is an abundant number, since it is smaller than the sum of its proper divisors (5121038621200).

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

3805078642160 is a wasteful number, since it uses less digits than its factorization.

3805078642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48186 (or 48180 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 3805078642160 in words is "three trillion, eight hundred five billion, seventy-eight million, six hundred forty-two thousand, one hundred sixty".