34446000 has 80 divisors (see below), whose sum is σ = 111073248. Its totient is φ = 9184000.

The previous prime is 34445989. The next prime is 34446023. The reversal of 34446000 is 64443.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130 + ... + 8870.

Almost surely, 2^34446000 is an apocalyptic number.

34446000 is a gapful number since it is divisible by the number (30) 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 34446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55536624).

34446000 is an abundant number, since it is smaller than the sum of its proper divisors (76627248).

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

34446000 is a wasteful number, since it uses less digits than its factorization.

34446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34446000 is about 5869.0714768181. The cubic root of 34446000 is about 325.3715671420.

The spelling of 34446000 in words is "thirty-four million, four hundred forty-six thousand".