34480672 has 36 divisors (see below), whose sum is σ = 69688458. Its totient is φ = 16793600.

The previous prime is 34480669. The next prime is 34480697. The reversal of 34480672 is 27608443.

It can be written as a sum of positive squares in 3 ways, for example, as 19395216 + 15085456 = 4404^2 + 3884^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53472 + ... + 54112.

Almost surely, 2^34480672 is an apocalyptic number.

34480672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34480672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34844229).

34480672 is an abundant number, since it is smaller than the sum of its proper divisors (35207786).

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

34480672 is an equidigital number, since it uses as much as digits as its factorization.

34480672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 34480672 is about 5872.0245231096. The cubic root of 34480672 is about 325.4806993101.

The spelling of 34480672 in words is "thirty-four million, four hundred eighty thousand, six hundred seventy-two".