34305042000 has 160 divisors (see below), whose sum is σ = 110998502784. Its totient is φ = 9115008000.

The previous prime is 34305041929. The next prime is 34305042001. The reversal of 34305042000 is 24050343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305042001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675827 + ... + 1696173.

Almost surely, 2^34305042000 is an apocalyptic number.

34305042000 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 34305042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55499251392).

34305042000 is an abundant number, since it is smaller than the sum of its proper divisors (76693460784).

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

34305042000 is a wasteful number, since it uses less digits than its factorization.

34305042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20654 (or 20638 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 34305042000 its reverse (24050343), we get a palindrome (34329092343).

The spelling of 34305042000 in words is "thirty-four billion, three hundred five million, forty-two thousand".