34350000 has 120 divisors (see below), whose sum is σ = 111399120. Its totient is φ = 9120000.

The previous prime is 34349993. The next prime is 34350031. The reversal of 34350000 is 5343.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149886 + ... + 150114.

It is an arithmetic number, because the mean of its divisors is an integer number (928326).

Almost surely, 2^34350000 is an apocalyptic number.

34350000 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 34350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55699560).

34350000 is an abundant number, since it is smaller than the sum of its proper divisors (77049120).

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

34350000 is an equidigital number, since it uses as much as digits as its factorization.

34350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 34350000 is about 5860.8873048370. The cubic root of 34350000 is about 325.0690188723.

Adding to 34350000 its reverse (5343), we get a palindrome (34355343).

The spelling of 34350000 in words is "thirty-four million, three hundred fifty thousand".