4036000000 has 126 divisors (see below), whose sum is σ = 10080144410. Its totient is φ = 1612800000.

The previous prime is 4035999991. The next prime is 4036000009. The reversal of 4036000000 is 6304.

It is an interprime number because it is at equal distance from previous prime (4035999991) and next prime (4036000009).

It can be written as a sum of positive squares in 7 ways, for example, as 3965976576 + 70023424 = 62976^2 + 8368^2 .

It is not an unprimeable number, because it can be changed into a prime (4036000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999496 + ... + 4000504.

Almost surely, 2^4036000000 is an apocalyptic number.

4036000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4036000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040072205).

4036000000 is an abundant number, since it is smaller than the sum of its proper divisors (6044144410).

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

4036000000 is an frugal number, since it uses more digits than its factorization.

4036000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4036000000 is about 63529.5206970744. The cubic root of 4036000000 is about 1592.1490395219.

Adding to 4036000000 its reverse (6304), we get a palindrome (4036006304).

The spelling of 4036000000 in words is "four billion, thirty-six million", and thus it is an aban number and an eban number.