34349300 has 36 divisors (see below), whose sum is σ = 75956076. Its totient is φ = 13478400.

The previous prime is 34349261. The next prime is 34349351. The reversal of 34349300 is 394343.

It can be written as a sum of positive squares in 6 ways, for example, as 2155024 + 32194276 = 1468^2 + 5674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34349300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2060 + ... + 8540.

It is an arithmetic number, because the mean of its divisors is an integer number (2109891).

Almost surely, 2^34349300 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 34349300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37978038).

34349300 is an abundant number, since it is smaller than the sum of its proper divisors (41606776).

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

34349300 is a wasteful number, since it uses less digits than its factorization.

34349300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 34349300 is about 5860.8275866127. The cubic root of 34349300 is about 325.0668107223.

The spelling of 34349300 in words is "thirty-four million, three hundred forty-nine thousand, three hundred".