3833114761164 has 288 divisors, whose sum is σ = 10514869263360. Its totient is φ = 1079560323072.

The previous prime is 3833114761163. The next prime is 3833114761169. The reversal of 3833114761164 is 4611674113383.

It is not an unprimeable number, because it can be changed into a prime (3833114761163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463324132 + ... + 463332404.

It is an arithmetic number, because the mean of its divisors is an integer number (36509962720).

Almost surely, 2^{3833114761164} is an apocalyptic number.

3833114761164 is a gapful number since it is divisible by the number (34) 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 3833114761164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257434631680).

3833114761164 is an abundant number, since it is smaller than the sum of its proper divisors (6681754502196).

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

3833114761164 is a wasteful number, since it uses less digits than its factorization.

3833114761164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8590 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The spelling of 3833114761164 in words is "three trillion, eight hundred thirty-three billion, one hundred fourteen million, seven hundred sixty-one thousand, one hundred sixty-four".