34040304000 has 256 divisors, whose sum is σ = 125383377600. Its totient is φ = 9077299200.

The previous prime is 34040303981. The next prime is 34040304047. The reversal of 34040304000 is 40304043.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 392602 + ... + 471398.

Almost surely, 2^34040304000 is an apocalyptic number.

34040304000 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 34040304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62691688800).

34040304000 is an abundant number, since it is smaller than the sum of its proper divisors (91343073600).

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

34040304000 is an equidigital number, since it uses as much as digits as its factorization.

34040304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78835 (or 78807 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 34040304000 its reverse (40304043), we get a palindrome (34080608043).

The spelling of 34040304000 in words is "thirty-four billion, forty million, three hundred four thousand".