3826074876 has 192 divisors, whose sum is σ = 10497973248. Its totient is φ = 1073958912.

The previous prime is 3826074853. The next prime is 3826074877. The reversal of 3826074876 is 6784706283.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826074877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22910545 + ... + 22910711.

It is an arithmetic number, because the mean of its divisors is an integer number (54676944).

Almost surely, 2^3826074876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3826074876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248986624).

3826074876 is an abundant number, since it is smaller than the sum of its proper divisors (6671898372).

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

3826074876 is a wasteful number, since it uses less digits than its factorization.

3826074876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 3826074876 is about 61855.2736312758. The cubic root of 3826074876 is about 1564.0518812250.

The spelling of 3826074876 in words is "three billion, eight hundred twenty-six million, seventy-four thousand, eight hundred seventy-six".