34467680 has 96 divisors (see below), whose sum is σ = 89286624. Its totient is φ = 12496896.

The previous prime is 34467661. The next prime is 34467701. The reversal of 34467680 is 8676443.

It is a happy number.

34467680 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, 151727 + ... + 151953.

It is an arithmetic number, because the mean of its divisors is an integer number (930069).

Almost surely, 2^34467680 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 34467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44643312).

34467680 is an abundant number, since it is smaller than the sum of its proper divisors (54818944).

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

34467680 is a wasteful number, since it uses less digits than its factorization.

34467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 34467680 is about 5870.9181564726. The cubic root of 34467680 is about 325.4398147970.

The spelling of 34467680 in words is "thirty-four million, four hundred sixty-seven thousand, six hundred eighty".