34963728 has 40 divisors (see below), whose sum is σ = 90619200. Its totient is φ = 11616384.

The previous prime is 34963727. The next prime is 34963751. The reversal of 34963728 is 82736943.

It is a self number, because there is not a number n which added to its sum of digits gives 34963728.

It is not an unprimeable number, because it can be changed into a prime (34963727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16218 + ... + 18246.

It is an arithmetic number, because the mean of its divisors is an integer number (2265480).

Almost surely, 2^34963728 is an apocalyptic number.

It is an amenable number.

34963728 is an abundant number, since it is smaller than the sum of its proper divisors (55655472).

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

34963728 is a wasteful number, since it uses less digits than its factorization.

34963728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2393 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 34963728 is about 5913.0134449365. The cubic root of 34963728 is about 326.9935937545.

The spelling of 34963728 in words is "thirty-four million, nine hundred sixty-three thousand, seven hundred twenty-eight".