3918841856160 has 768 divisors, whose sum is σ = 15788378124288. Its totient is φ = 793342771200.

The previous prime is 3918841856159. The next prime is 3918841856173. The reversal of 3918841856160 is 616581488193.

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 = 3918841856094 and 3918841856103.

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, 669083952 + ... + 669089808.

It is an arithmetic number, because the mean of its divisors is an integer number (20557784016).

Almost surely, 2^{3918841856160} is an apocalyptic number.

3918841856160 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 3918841856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894189062144).

3918841856160 is an abundant number, since it is smaller than the sum of its proper divisors (11869536268128).

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

3918841856160 is a wasteful number, since it uses less digits than its factorization.

3918841856160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 3918841856160 in words is "three trillion, nine hundred eighteen billion, eight hundred forty-one million, eight hundred fifty-six thousand, one hundred sixty".