3830867136 has 280 divisors, whose sum is σ = 11790054144. Its totient is φ = 1229230080.

The previous prime is 3830867087. The next prime is 3830867137. The reversal of 3830867136 is 6317680383.

It is a junction number, because it is equal to n+sod(n) for n = 3830867091 and 3830867100.

It is not an unprimeable number, because it can be changed into a prime (3830867137) 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 39 ways as a sum of consecutive naturals, for example, 20056801 + ... + 20056991.

Almost surely, 2^3830867136 is an apocalyptic number.

3830867136 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 3830867136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895027072).

3830867136 is an abundant number, since it is smaller than the sum of its proper divisors (7959187008).

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

3830867136 is a wasteful number, since it uses less digits than its factorization.

3830867136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3830867136 is about 61893.9991921672. Note that the first 3 decimals coincide. The cubic root of 3830867136 is about 1564.7046142316.

The spelling of 3830867136 in words is "three billion, eight hundred thirty million, eight hundred sixty-seven thousand, one hundred thirty-six".