34801147 has 8 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 33510120.

The previous prime is 34801099. The next prime is 34801183. The reversal of 34801147 is 74110843.

34801147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34801147 - 2¹⁹ = 34276859 is a prime.

It is a super-2 number, since 2×34801147² = 2422239665031218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34801187) 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 7 ways as a sum of consecutive naturals, for example, 2647 + ... + 8752.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2^34801147 is an apocalyptic number.

34801147 is a deficient number, since it is larger than the sum of its proper divisors (1314053).

34801147 is a wasteful number, since it uses less digits than its factorization.

34801147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 34801147 is about 5899.2496980548. The cubic root of 34801147 is about 326.4859670946.

The spelling of 34801147 in words is "thirty-four million, eight hundred one thousand, one hundred forty-seven".