3430368 has 72 divisors (see below), whose sum is σ = 10018008. Its totient is φ = 1112832.

The previous prime is 3430363. The next prime is 3430369. The reversal of 3430368 is 8630343.

3430368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430363) 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, 12246 + ... + 12522.

It is an arithmetic number, because the mean of its divisors is an integer number (139139).

Almost surely, 2^3430368 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 3430368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009004).

3430368 is an abundant number, since it is smaller than the sum of its proper divisors (6587640).

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

3430368 is a wasteful number, since it uses less digits than its factorization.

3430368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3430368 is about 1852.1252657420. The cubic root of 3430368 is about 150.8158215241.

The spelling of 3430368 in words is "three million, four hundred thirty thousand, three hundred sixty-eight".