34484500 has 48 divisors (see below), whose sum is σ = 79764048. Its totient is φ = 12979200.

The previous prime is 34484467. The next prime is 34484501. The reversal of 34484500 is 548443.

It can be written as a sum of positive squares in 8 ways, for example, as 6563844 + 27920656 = 2562^2 + 5284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34484501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6472 + ... + 10528.

It is an arithmetic number, because the mean of its divisors is an integer number (1661751).

Almost surely, 2^34484500 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 34484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39882024).

34484500 is an abundant number, since it is smaller than the sum of its proper divisors (45279548).

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

34484500 is a wasteful number, since it uses less digits than its factorization.

34484500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 34484500 is about 5872.3504663806. The cubic root of 34484500 is about 325.4927436811.

The spelling of 34484500 in words is "thirty-four million, four hundred eighty-four thousand, five hundred".