34466304 has 80 divisors (see below), whose sum is σ = 96734880. Its totient is φ = 10874880.

The previous prime is 34466303. The next prime is 34466309. The reversal of 34466304 is 40366443.

34466304 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×34466304² = 2375852222840832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34466303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28594 + ... + 29774.

It is an arithmetic number, because the mean of its divisors is an integer number (1209186).

Almost surely, 2^34466304 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 34466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48367440).

34466304 is an abundant number, since it is smaller than the sum of its proper divisors (62268576).

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

34466304 is a wasteful number, since it uses less digits than its factorization.

34466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 34466304 is about 5870.8009675001. The cubic root of 34466304 is about 325.4354840622.

The spelling of 34466304 in words is "thirty-four million, four hundred sixty-six thousand, three hundred four".