34012553200 has 60 divisors (see below), whose sum is σ = 81738162520. Its totient is φ = 13601191680.

The previous prime is 34012553129. The next prime is 34012553207. The reversal of 34012553200 is 235521043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012553207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1725802 + ... + 1745398.

Almost surely, 2^34012553200 is an apocalyptic number.

It is an amenable number.

34012553200 is an abundant number, since it is smaller than the sum of its proper divisors (47725609320).

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

34012553200 is a wasteful number, since it uses less digits than its factorization.

34012553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23954 (or 23943 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 34012553200 in words is "thirty-four billion, twelve million, five hundred fifty-three thousand, two hundred".