3834771168000 has 288 divisors, whose sum is σ = 13081452995520. Its totient is φ = 994966732800.

The previous prime is 3834771167999. The next prime is 3834771168023. The reversal of 3834771168000 is 8611774383.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3012196 + ... + 4091804.

It is an arithmetic number, because the mean of its divisors is an integer number (45421711790).

Almost surely, 2^{3834771168000} is an apocalyptic number.

3834771168000 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 3834771168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540726497760).

3834771168000 is an abundant number, since it is smaller than the sum of its proper divisors (9246681827520).

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

3834771168000 is a wasteful number, since it uses less digits than its factorization.

3834771168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079680 (or 1079656 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 3834771168000 in words is "three trillion, eight hundred thirty-four billion, seven hundred seventy-one million, one hundred sixty-eight thousand".