34053224000 has 56 divisors (see below), whose sum is σ = 84332829048. Its totient is φ = 13621286400.

The previous prime is 34053223949. The next prime is 34053224003. The reversal of 34053224000 is 42235043.

It can be written as a sum of positive squares in 4 ways, for example, as 350138944 + 33703085056 = 18712^2 + 183584^2 .

It is a super-3 number, since 3×34053224000³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34053224003) 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, 2120327 + ... + 2136326.

Almost surely, 2^34053224000 is an apocalyptic number.

It is an amenable number.

34053224000 is an abundant number, since it is smaller than the sum of its proper divisors (50279605048).

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

34053224000 is an equidigital number, since it uses as much as digits as its factorization.

34053224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256680 (or 4256660 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 34053224000 its reverse (42235043), we get a palindrome (34095459043).

The spelling of 34053224000 in words is "thirty-four billion, fifty-three million, two hundred twenty-four thousand".