3834082116 has 72 divisors (see below), whose sum is σ = 9904737024. Its totient is φ = 1250084160.

The previous prime is 3834082111. The next prime is 3834082157. The reversal of 3834082116 is 6112804383.

3834082116 is a `hidden beast` number, since 38 + 3 + 408 + 211 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3834082111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659181 + ... + 664971.

It is an arithmetic number, because the mean of its divisors is an integer number (137565792).

Almost surely, 2^3834082116 is an apocalyptic number.

3834082116 is a gapful number since it is divisible by the number (36) 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 3834082116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952368512).

3834082116 is an abundant number, since it is smaller than the sum of its proper divisors (6070654908).

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

3834082116 is a wasteful number, since it uses less digits than its factorization.

3834082116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3834082116 is about 61919.9654069671. The cubic root of 3834082116 is about 1565.1422077120.

Adding to 3834082116 its reverse (6112804383), we get a palindrome (9946886499).

The spelling of 3834082116 in words is "three billion, eight hundred thirty-four million, eighty-two thousand, one hundred sixteen".