34685440 has 80 divisors (see below), whose sum is σ = 88166232. Its totient is φ = 13041664.

The previous prime is 34685437. The next prime is 34685447. The reversal of 34685440 is 4458643.

It can be written as a sum of positive squares in 4 ways, for example, as 31181056 + 3504384 = 5584^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 34685396 and 34685405.

It is not an unprimeable number, because it can be changed into a prime (34685447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43122 + ... + 43918.

Almost surely, 2^34685440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44083116).

34685440 is an abundant number, since it is smaller than the sum of its proper divisors (53480792).

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

34685440 is an equidigital number, since it uses as much as digits as its factorization.

34685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 34685440 is about 5889.4346078380. The cubic root of 34685440 is about 326.1237313707.

The spelling of 34685440 in words is "thirty-four million, six hundred eighty-five thousand, four hundred forty".