4235364000 has 504 divisors, whose sum is σ = 17536503348. Its totient is φ = 968083200.

The previous prime is 4235363999. The next prime is 4235364011. The reversal of 4235364000 is 4635324.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2863106064 + 1372257936 = 53508^2 + 37044^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 605051997 + ... + 605052003.

Almost surely, 2^4235364000 is an apocalyptic number.

4235364000 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 4235364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768251674).

4235364000 is an abundant number, since it is smaller than the sum of its proper divisors (13301139348).

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

4235364000 is an frugal number, since it uses more digits than its factorization.

4235364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4235364000 is about 65079.6742462652. The cubic root of 4235364000 is about 1617.9443519584.

Adding to 4235364000 its reverse (4635324), we get a palindrome (4239999324).

The spelling of 4235364000 in words is "four billion, two hundred thirty-five million, three hundred sixty-four thousand".