34528640 has 32 divisors (see below), whose sum is σ = 82546560. Its totient is φ = 13811200.

The previous prime is 34528639. The next prime is 34528661. The reversal of 34528640 is 4682543.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34528597 and 34528606.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 26336 + ... + 27615.

It is an arithmetic number, because the mean of its divisors is an integer number (2579580).

Almost surely, 2^34528640 is an apocalyptic number.

It is an amenable number.

34528640 is an abundant number, since it is smaller than the sum of its proper divisors (48017920).

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

34528640 is an equidigital number, since it uses as much as digits as its factorization.

34528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53970 (or 53958 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 34528640 is about 5876.1075551763. The cubic root of 34528640 is about 325.6315608700.

The spelling of 34528640 in words is "thirty-four million, five hundred twenty-eight thousand, six hundred forty".