3826115676 has 168 divisors, whose sum is σ = 10775056320. Its totient is φ = 1183942656.

The previous prime is 3826115651. The next prime is 3826115681. The reversal of 3826115676 is 6765116283.

3826115676 is a `hidden beast` number, since 3 + 82 + 6 + 1 + 1 + 567 + 6 = 666.

It is a super-3 number, since 3×3826115676³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3915700 + ... + 3916676.

It is an arithmetic number, because the mean of its divisors is an integer number (64137240).

Almost surely, 2^3826115676 is an apocalyptic number.

3826115676 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 3826115676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387528160).

3826115676 is an abundant number, since it is smaller than the sum of its proper divisors (6948940644).

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

3826115676 is a wasteful number, since it uses less digits than its factorization.

3826115676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1078 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 3826115676 is about 61855.6034325105. The cubic root of 3826115676 is about 1564.0574407163.

The spelling of 3826115676 in words is "three billion, eight hundred twenty-six million, one hundred fifteen thousand, six hundred seventy-six".