34488000 has 168 divisors, whose sum is σ = 123626880. Its totient is φ = 9177600.

The previous prime is 34487963. The next prime is 34488007. The reversal of 34488000 is 88443.

It is not an unprimeable number, because it can be changed into a prime (34488007) 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 23 ways as a sum of consecutive naturals, for example, 71761 + ... + 72239.

Almost surely, 2^34488000 is an apocalyptic number.

34488000 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 34488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61813440).

34488000 is an abundant number, since it is smaller than the sum of its proper divisors (89138880).

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

34488000 is a wasteful number, since it uses less digits than its factorization.

34488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34488000 is about 5872.6484655562. The cubic root of 34488000 is about 325.5037552569.

The spelling of 34488000 in words is "thirty-four million, four hundred eighty-eight thousand".