34544500 has 48 divisors (see below), whose sum is σ = 76789440. Its totient is φ = 13572000.

The previous prime is 34544479. The next prime is 34544519. The reversal of 34544500 is 544543.

34544500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 28915 + ... + 30085.

It is an arithmetic number, because the mean of its divisors is an integer number (1599780).

Almost surely, 2^34544500 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 34544500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38394720).

34544500 is an abundant number, since it is smaller than the sum of its proper divisors (42244940).

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

34544500 is a wasteful number, since it uses less digits than its factorization.

34544500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 34544500 is about 5877.4569330621. The cubic root of 34544500 is about 325.6814105602.

The spelling of 34544500 in words is "thirty-four million, five hundred forty-four thousand, five hundred".