3841019136 has 288 divisors, whose sum is σ = 12191397120. Its totient is φ = 1189748736.

The previous prime is 3841019129. The next prime is 3841019153. The reversal of 3841019136 is 6319101483.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3841019136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5881786 + ... + 5882438.

It is an arithmetic number, because the mean of its divisors is an integer number (42331240).

Almost surely, 2^3841019136 is an apocalyptic number.

3841019136 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 3841019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095698560).

3841019136 is an abundant number, since it is smaller than the sum of its proper divisors (8350377984).

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

3841019136 is a wasteful number, since it uses less digits than its factorization.

3841019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3841019136 is about 61975.9561120278. The cubic root of 3841019136 is about 1566.0855783300.

The spelling of 3841019136 in words is "three billion, eight hundred forty-one million, nineteen thousand, one hundred thirty-six".