34305431200 has 72 divisors (see below), whose sum is σ = 83876506560. Its totient is φ = 13701139200.

The previous prime is 34305431131. The next prime is 34305431221. The reversal of 34305431200 is 213450343.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494665 + ... + 559735.

It is an arithmetic number, because the mean of its divisors is an integer number (1164951480).

Almost surely, 2^34305431200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34305431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41938253280).

34305431200 is an abundant number, since it is smaller than the sum of its proper divisors (49571075360).

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

34305431200 is a wasteful number, since it uses less digits than its factorization.

34305431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65750 (or 65737 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 34305431200 its reverse (213450343), we get a palindrome (34518881543).

The spelling of 34305431200 in words is "thirty-four billion, three hundred five million, four hundred thirty-one thousand, two hundred".