34577680 has 40 divisors (see below), whose sum is σ = 80934552. Its totient is φ = 13737984.

The previous prime is 34577659. The next prime is 34577681. The reversal of 34577680 is 8677543.

It can be written as a sum of positive squares in 4 ways, for example, as 7203856 + 27373824 = 2684^2 + 5232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (34577681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11184 + ... + 13936.

Almost surely, 2^34577680 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 34577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40467276).

34577680 is an abundant number, since it is smaller than the sum of its proper divisors (46356872).

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

34577680 is a wasteful number, since it uses less digits than its factorization.

34577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 34577680 is about 5880.2789049500. The cubic root of 34577680 is about 325.7856495494.

The spelling of 34577680 in words is "thirty-four million, five hundred seventy-seven thousand, six hundred eighty".