3840081336 has 384 divisors, whose sum is σ = 13645632000. Its totient is φ = 947303424.

The previous prime is 3840081319. The next prime is 3840081337. The reversal of 3840081336 is 6331800483.

It is a happy number.

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 3840081336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840081337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13569051 + ... + 13569333.

It is an arithmetic number, because the mean of its divisors is an integer number (35535500).

Almost surely, 2^3840081336 is an apocalyptic number.

3840081336 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 3840081336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822816000).

3840081336 is an abundant number, since it is smaller than the sum of its proper divisors (9805550664).

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

3840081336 is a wasteful number, since it uses less digits than its factorization.

3840081336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3840081336 is about 61968.3898128715. The cubic root of 3840081336 is about 1565.9581126282.

The spelling of 3840081336 in words is "three billion, eight hundred forty million, eighty-one thousand, three hundred thirty-six".