3820201000 has 128 divisors (see below), whose sum is σ = 11145288960. Its totient is φ = 1190688000.

The previous prime is 3820200997. The next prime is 3820201003. The reversal of 3820201000 is 1020283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3820200997) and next prime (3820201003).

It is not an unprimeable number, because it can be changed into a prime (3820201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52194 + ... + 101806.

It is an arithmetic number, because the mean of its divisors is an integer number (87072570).

Almost surely, 2^3820201000 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 3820201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572644480).

3820201000 is an abundant number, since it is smaller than the sum of its proper divisors (7325087960).

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

3820201000 is a wasteful number, since it uses less digits than its factorization.

3820201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49652 (or 49638 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3820201000 is about 61807.7745918748. The cubic root of 3820201000 is about 1563.2510821026.

Adding to 3820201000 its reverse (1020283), we get a palindrome (3821221283).

The spelling of 3820201000 in words is "three billion, eight hundred twenty million, two hundred one thousand".