3682838016 has 640 divisors, whose sum is σ = 13529134080. Its totient is φ = 985374720.

The previous prime is 3682838011. The next prime is 3682838017. The reversal of 3682838016 is 6108382863.

3682838016 is a `hidden beast` number, since 368 + 283 + 8 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682838011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 160123381 + ... + 160123403.

It is an arithmetic number, because the mean of its divisors is an integer number (21139272).

Almost surely, 2^3682838016 is an apocalyptic number.

3682838016 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 3682838016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764567040).

3682838016 is an abundant number, since it is smaller than the sum of its proper divisors (9846296064).

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

3682838016 is an equidigital number, since it uses as much as digits as its factorization.

3682838016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3682838016 is about 60686.3906984095. The cubic root of 3682838016 is about 1544.2853061679.

The spelling of 3682838016 in words is "three billion, six hundred eighty-two million, eight hundred thirty-eight thousand, sixteen".