34400673 has 32 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 21397248.

The previous prime is 34400651. The next prime is 34400683. The reversal of 34400673 is 37600443.

It is not a de Polignac number, because 34400673 - 2¹⁰ = 34399649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34400603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68140 + ... + 68642.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^34400673 is an apocalyptic number.

It is an amenable number.

34400673 is a deficient number, since it is larger than the sum of its proper divisors (20031327).

34400673 is a wasteful number, since it uses less digits than its factorization.

34400673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34400673 is about 5865.2086919393. The cubic root of 34400673 is about 325.2287872285.

The spelling of 34400673 in words is "thirty-four million, four hundred thousand, six hundred seventy-three".