3882814341120 has 2448 divisors, whose sum is σ = 17056460069376. Its totient is φ = 840853094400.

The previous prime is 3882814341071. The next prime is 3882814341157. The reversal of 3882814341120 is 211434182883.

3882814341120 is a `hidden beast` number, since 3 + 8 + 8 + 281 + 4 + 341 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125252075505 + ... + 125252075535.

Almost surely, 2^{3882814341120} is an apocalyptic number.

3882814341120 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 3882814341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528230034688).

3882814341120 is an abundant number, since it is smaller than the sum of its proper divisors (13173645728256).

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

3882814341120 is an equidigital number, since it uses as much as digits as its factorization.

3882814341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 3882814341120 in words is "three trillion, eight hundred eighty-two billion, eight hundred fourteen million, three hundred forty-one thousand, one hundred twenty".