34304042004000 has 96 divisors (see below), whose sum is σ = 112380041644416. Its totient is φ = 9147744531200.

The previous prime is 34304042003989. The next prime is 34304042004007. The reversal of 34304042004000 is 40024040343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34304042004007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429323084 + ... + 1429347083.

It is an arithmetic number, because the mean of its divisors is an integer number (1170625433796).

Almost surely, 2^{34304042004000} is an apocalyptic number.

34304042004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34304042004000 is an abundant number, since it is smaller than the sum of its proper divisors (78075999640416).

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

34304042004000 is a wasteful number, since it uses less digits than its factorization.

34304042004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858670195 (or 2858670177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34304042004000 its reverse (40024040343), we get a palindrome (34344066044343).

The spelling of 34304042004000 in words is "thirty-four trillion, three hundred four billion, forty-two million, four thousand".