4034730374304 has 96 divisors (see below), whose sum is σ = 12184351635456. Its totient is φ = 1145145772800.

The previous prime is 4034730374299. The next prime is 4034730374309.

4034730374304 is nontrivially palindromic in base 10.

4034730374304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4034730374299) and next prime (4034730374309).

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 (42).

It is not an unprimeable number, because it can be changed into a prime (4034730374309) 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, 19779532 + ... + 19982475.

It is an arithmetic number, because the mean of its divisors is an integer number (126920329536).

Almost surely, 2^{4034730374304} is an apocalyptic number.

It is an amenable number.

4034730374304 is an abundant number, since it is smaller than the sum of its proper divisors (8149621261152).

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

4034730374304 is a wasteful number, since it uses less digits than its factorization.

4034730374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39762178 (or 39762170 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 42.

The spelling of 4034730374304 in words is "four trillion, thirty-four billion, seven hundred thirty million, three hundred seventy-four thousand, three hundred four".