34446640 has 80 divisors (see below), whose sum is σ = 84869568. Its totient is φ = 12976128.

The previous prime is 34446631. The next prime is 34446647. The reversal of 34446640 is 4664443.

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

It is not an unprimeable number, because it can be changed into a prime (34446647) 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 15 ways as a sum of consecutive naturals, for example, 178384 + ... + 178576.

Almost surely, 2^34446640 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 34446640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42434784).

34446640 is an abundant number, since it is smaller than the sum of its proper divisors (50422928).

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

34446640 is a wasteful number, since it uses less digits than its factorization.

34446640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 34446640 is about 5869.1259996698. The cubic root of 34446640 is about 325.3735822430.

The spelling of 34446640 in words is "thirty-four million, four hundred forty-six thousand, six hundred forty".