34673628 has 48 divisors (see below), whose sum is σ = 88631424. Its totient is φ = 10463040.

The previous prime is 34673623. The next prime is 34673687. The reversal of 34673628 is 82637643.

34673628 is a nontrivial binomial coefficient, being equal to C(8328, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34673621) 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 15 ways as a sum of consecutive naturals, for example, 45426 + ... + 46182.

It is an arithmetic number, because the mean of its divisors is an integer number (1846488).

Almost surely, 2^34673628 is an apocalyptic number.

34673628 is the 8327-th triangular number and also the 4164-th hexagonal number.

It is an amenable number.

34673628 is an abundant number, since it is smaller than the sum of its proper divisors (53957796).

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

34673628 is a wasteful number, since it uses less digits than its factorization.

34673628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1120 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 34673628 is about 5888.4317097169. The cubic root of 34673628 is about 326.0867070854.

The spelling of 34673628 in words is "thirty-four million, six hundred seventy-three thousand, six hundred twenty-eight".