4034004032 has 56 divisors (see below), whose sum is σ = 8314136280. Its totient is φ = 1940336640.

The previous prime is 4034003983. The next prime is 4034004049. The reversal of 4034004032 is 2304004304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 851238976 + 3182765056 = 29176^2 + 56416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4034003995 and 4034004013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201182 + ... + 220322.

Almost surely, 2^4034004032 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 4034004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157068140).

4034004032 is an abundant number, since it is smaller than the sum of its proper divisors (4280132248).

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

4034004032 is a wasteful number, since it uses less digits than its factorization.

4034004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19279 (or 19269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4034004032 is about 63513.8097739381. The cubic root of 4034004032 is about 1591.8865351825.

Adding to 4034004032 its reverse (2304004304), we get a palindrome (6338008336).

The spelling of 4034004032 in words is "four billion, thirty-four million, four thousand, thirty-two", and thus it is an eban number.