34527680 has 112 divisors (see below), whose sum is σ = 95134176. Its totient is φ = 11796480.

The previous prime is 34527671. The next prime is 34527709. The reversal of 34527680 is 8672543.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34527680.

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 15 ways as a sum of consecutive naturals, for example, 59552 + ... + 60128.

Almost surely, 2^34527680 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 34527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567088).

34527680 is an abundant number, since it is smaller than the sum of its proper divisors (60606496).

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

34527680 is a wasteful number, since it uses less digits than its factorization.

34527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 34527680 is about 5876.0258678804. The cubic root of 34527680 is about 325.6285429966.

The spelling of 34527680 in words is "thirty-four million, five hundred twenty-seven thousand, six hundred eighty".