34869760 has 80 divisors (see below), whose sum is σ = 85514616. Its totient is φ = 13631488.

The previous prime is 34869749. The next prime is 34869773. The reversal of 34869760 is 6796843.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34857216 + 12544 = 5904^2 + 112^2 .

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

It is an unprimeable number.

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, 135552 + ... + 135808.

Almost surely, 2^34869760 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 34869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42757308).

34869760 is an abundant number, since it is smaller than the sum of its proper divisors (50644856).

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

34869760 is an equidigital number, since it uses as much as digits as its factorization.

34869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 34869760 is about 5905.0622350658. The cubic root of 34869760 is about 326.7003898731.

The spelling of 34869760 in words is "thirty-four million, eight hundred sixty-nine thousand, seven hundred sixty".