34904807 has 24 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 28894320.

The previous prime is 34904773. The next prime is 34904839. The reversal of 34904807 is 70840943.

34904807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34904807 - 2¹⁶ = 34839271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34909807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274778 + ... + 274904.

It is an arithmetic number, because the mean of its divisors is an integer number (1751040).

Almost surely, 2^34904807 is an apocalyptic number.

34904807 is a deficient number, since it is larger than the sum of its proper divisors (7120153).

34904807 is a wasteful number, since it uses less digits than its factorization.

34904807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 34904807 is about 5908.0290283647. The cubic root of 34904807 is about 326.8098068836.

The spelling of 34904807 in words is "thirty-four million, nine hundred four thousand, eight hundred seven".