3890164000 has 96 divisors (see below), whose sum is σ = 9594919152. Its totient is φ = 1550080000.

The previous prime is 3890163931. The next prime is 3890164001. The reversal of 3890164000 is 4610983.

It can be written as a sum of positive squares in 8 ways, for example, as 44675856 + 3845488144 = 6684^2 + 62012^2 .

It is not an unprimeable number, because it can be changed into a prime (3890164001) 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 15 ways as a sum of consecutive naturals, for example, 1122270 + ... + 1125730.

Almost surely, 2^3890164000 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 3890164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797459576).

3890164000 is an abundant number, since it is smaller than the sum of its proper divisors (5704755152).

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

3890164000 is a wasteful number, since it uses less digits than its factorization.

3890164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3890164000 is about 62371.1792416978. The cubic root of 3890164000 is about 1572.7365151529.

Adding to 3890164000 its reverse (4610983), we get a palindrome (3894774983).

The spelling of 3890164000 in words is "three billion, eight hundred ninety million, one hundred sixty-four thousand".