3845410017888 has 192 divisors, whose sum is σ = 10451727820800. Its totient is φ = 1236663521280.

The previous prime is 3845410017877. The next prime is 3845410017899. The reversal of 3845410017888 is 8887100145483.

It is an interprime number because it is at equal distance from previous prime (3845410017877) and next prime (3845410017899).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764757983 + ... + 1764760161.

It is an arithmetic number, because the mean of its divisors is an integer number (54436082400).

Almost surely, 2^{3845410017888} 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 3845410017888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225863910400).

3845410017888 is an abundant number, since it is smaller than the sum of its proper divisors (6606317802912).

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

3845410017888 is a wasteful number, since it uses less digits than its factorization.

3845410017888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 57.

The spelling of 3845410017888 in words is "three trillion, eight hundred forty-five billion, four hundred ten million, seventeen thousand, eight hundred eighty-eight".