34958240 has 72 divisors (see below), whose sum is σ = 85778028. Its totient is φ = 13455360.

The previous prime is 34958207. The next prime is 34958243. The reversal of 34958240 is 4285943.

It can be written as a sum of positive squares in 6 ways, for example, as 8042896 + 26915344 = 2836^2 + 5188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34958240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34958243) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 478844 + ... + 478916.

Almost surely, 2^34958240 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 34958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42889014).

34958240 is an abundant number, since it is smaller than the sum of its proper divisors (50819788).

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

34958240 is an equidigital number, since it uses as much as digits as its factorization.

34958240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 34958240 is about 5912.5493655444. The cubic root of 34958240 is about 326.9764842638.

The spelling of 34958240 in words is "thirty-four million, nine hundred fifty-eight thousand, two hundred forty".