34590330 has 72 divisors (see below), whose sum is σ = 93346812. Its totient is φ = 8886528.

The previous prime is 34590329. The next prime is 34590341. The reversal of 34590330 is 3309543.

It can be written as a sum of positive squares in 6 ways, for example, as 22667121 + 11923209 = 4761^2 + 3453^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34590294 and 34590303.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75462 + ... + 75918.

Almost surely, 2^34590330 is an apocalyptic number.

34590330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34590330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46673406).

34590330 is an abundant number, since it is smaller than the sum of its proper divisors (58756482).

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

34590330 is a wasteful number, since it uses less digits than its factorization.

34590330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 34590330 is about 5881.3544358421. The cubic root of 34590330 is about 325.8253734985.

Adding to 34590330 its reverse (3309543), we get a palindrome (37899873).

The spelling of 34590330 in words is "thirty-four million, five hundred ninety thousand, three hundred thirty".