34458900 has 144 divisors (see below), whose sum is σ = 116242560. Its totient is φ = 7718400.

The previous prime is 34458889. The next prime is 34458911. The reversal of 34458900 is 985443.

It is an interprime number because it is at equal distance from previous prime (34458889) and next prime (34458911).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 127966 + ... + 128234.

It is an arithmetic number, because the mean of its divisors is an integer number (807240).

Almost surely, 2^34458900 is an apocalyptic number.

34458900 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 34458900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

34458900 is an abundant number, since it is smaller than the sum of its proper divisors (81783660).

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

34458900 is a wasteful number, since it uses less digits than its factorization.

34458900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 34458900 is about 5870.1703552793. The cubic root of 34458900 is about 325.4121792050.

The spelling of 34458900 in words is "thirty-four million, four hundred fifty-eight thousand, nine hundred".