3829682000 has 80 divisors (see below), whose sum is σ = 9579632400. Its totient is φ = 1479027200.

The previous prime is 3829681997. The next prime is 3829682027. The reversal of 3829682000 is 2869283.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2494802704 + 1334879296 = 49948^2 + 36536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3829682000² = 29332928442248000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 24986 + ... + 91014.

It is an arithmetic number, because the mean of its divisors is an integer number (119745405).

Almost surely, 2^3829682000 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 3829682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789816200).

3829682000 is an abundant number, since it is smaller than the sum of its proper divisors (5749950400).

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

3829682000 is a wasteful number, since it uses less digits than its factorization.

3829682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66081 (or 66065 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 3829682000 is about 61884.4245347729. The cubic root of 3829682000 is about 1564.5432426707.

The spelling of 3829682000 in words is "three billion, eight hundred twenty-nine million, six hundred eighty-two thousand".