34585440 has 48 divisors (see below), whose sum is σ = 108945648. Its totient is φ = 9222656.

The previous prime is 34585423. The next prime is 34585469. The reversal of 34585440 is 4458543.

34585440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 35547 + ... + 36506.

It is an arithmetic number, because the mean of its divisors is an integer number (2269701).

Almost surely, 2^34585440 is an apocalyptic number.

34585440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34585440 is an abundant number, since it is smaller than the sum of its proper divisors (74360208).

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

34585440 is a wasteful number, since it uses less digits than its factorization.

34585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72071 (or 72063 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 34585440 is about 5880.9387005817. The cubic root of 34585440 is about 325.8100189070.

The spelling of 34585440 in words is "thirty-four million, five hundred eighty-five thousand, four hundred forty".