34500003300 has 288 divisors, whose sum is σ = 129345888000. Its totient is φ = 7885503360.

The previous prime is 34500003253. The next prime is 34500003301. The reversal of 34500003300 is 330000543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34500003301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 907474 + ... + 944726.

Almost surely, 2^34500003300 is an apocalyptic number.

34500003300 is a gapful number since it is divisible by the number (30) 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 34500003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64672944000).

34500003300 is an abundant number, since it is smaller than the sum of its proper divisors (94845884700).

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

34500003300 is a wasteful number, since it uses less digits than its factorization.

34500003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37297 (or 37270 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

Adding to 34500003300 its reverse (330000543), we get a palindrome (34830003843).

The spelling of 34500003300 in words is "thirty-four billion, five hundred million, three thousand, three hundred".