3890980000 has 120 divisors (see below), whose sum is σ = 9622335492. Its totient is φ = 1548288000.

The previous prime is 3890979997. The next prime is 3890980003. The reversal of 3890980000 is 890983.

It is an interprime number because it is at equal distance from previous prime (3890979997) and next prime (3890980003).

It can be written as a sum of positive squares in 10 ways, for example, as 43507216 + 3847472784 = 6596^2 + 62028^2 .

It is not an unprimeable number, because it can be changed into a prime (3890980003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5139622 + ... + 5140378.

Almost surely, 2^3890980000 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 3890980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811167746).

3890980000 is an abundant number, since it is smaller than the sum of its proper divisors (5731355492).

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

3890980000 is an equidigital number, since it uses as much as digits as its factorization.

3890980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 3890980000 is about 62377.7203815593. The cubic root of 3890980000 is about 1572.8464730942.

The spelling of 3890980000 in words is "three billion, eight hundred ninety million, nine hundred eighty thousand".