3845338151160 has 256 divisors, whose sum is σ = 12663262656000. Its totient is φ = 926393794560.

The previous prime is 3845338151153. The next prime is 3845338151203. The reversal of 3845338151160 is 611518335483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442548096 + ... + 442556784.

It is an arithmetic number, because the mean of its divisors is an integer number (49465869750).

Almost surely, 2^{3845338151160} is an apocalyptic number.

3845338151160 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 3845338151160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331631328000).

3845338151160 is an abundant number, since it is smaller than the sum of its proper divisors (8817924504840).

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

3845338151160 is a wasteful number, since it uses less digits than its factorization.

3845338151160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10766 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 3845338151160 in words is "three trillion, eight hundred forty-five billion, three hundred thirty-eight million, one hundred fifty-one thousand, one hundred sixty".