34635640 has 64 divisors (see below), whose sum is σ = 85932000. Its totient is φ = 12483072.

The previous prime is 34635637. The next prime is 34635701. The reversal of 34635640 is 4653643.

34635640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 21586 + ... + 23134.

Almost surely, 2^34635640 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 34635640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966000).

34635640 is an abundant number, since it is smaller than the sum of its proper divisors (51296360).

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

34635640 is a wasteful number, since it uses less digits than its factorization.

34635640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 34635640 is about 5885.2051790910. The cubic root of 34635640 is about 325.9675780420.

The spelling of 34635640 in words is "thirty-four million, six hundred thirty-five thousand, six hundred forty".