3921829000 has 64 divisors (see below), whose sum is σ = 9239022000. Its totient is φ = 1558144000.

The previous prime is 3921828997. The next prime is 3921829001. The reversal of 3921829000 is 9281293.

It can be written as a sum of positive squares in 8 ways, for example, as 205463556 + 3716365444 = 14334^2 + 60962^2 .

It is not an unprimeable number, because it can be changed into a prime (3921829001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135840 + ... + 162160.

Almost surely, 2^3921829000 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 3921829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619511000).

3921829000 is an abundant number, since it is smaller than the sum of its proper divisors (5317193000).

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

3921829000 is a wasteful number, since it uses less digits than its factorization.

3921829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26491 (or 26477 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 3921829000 is about 62624.5079820991. The cubic root of 3921829000 is about 1576.9922215597.

The spelling of 3921829000 in words is "three billion, nine hundred twenty-one million, eight hundred twenty-nine thousand".