4034434000 has 40 divisors (see below), whose sum is σ = 9755266248. Its totient is φ = 1613772800.

The previous prime is 4034433959. The next prime is 4034434007. The reversal of 4034434000 is 4344304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8785296 + 4025648704 = 2964^2 + 63448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034434007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006609 + ... + 1010608.

Almost surely, 2^4034434000 is an apocalyptic number.

4034434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034434000 is an abundant number, since it is smaller than the sum of its proper divisors (5720832248).

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

4034434000 is a wasteful number, since it uses less digits than its factorization.

4034434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017240 (or 2017224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 4034434000 is about 63517.1945224283. The cubic root of 4034434000 is about 1591.9430907327.

Adding to 4034434000 its reverse (4344304), we get a palindrome (4038778304).

The spelling of 4034434000 in words is "four billion, thirty-four million, four hundred thirty-four thousand".